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2520770252 = 2271151343
BaseRepresentation
bin1001011000111111…
…1110011011001100
320111200021101201012
42112033332123030
520130304122002
61054044504352
7116316123260
oct22617763314
96450241635
102520770252
111083a00000
125a424b0b8
13312322340
1419cada0a0
15eb47ed52
hex963fe6cc

2520770252 has 144 divisors (see below), whose sum is σ = 6111173376. Its totient is φ = 885487680.

The previous prime is 2520770233. The next prime is 2520770257.

2520770252 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520770257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58622543 + ... + 58622585.

It is an arithmetic number, because the mean of its divisors is an integer number (42438704).

Almost surely, 22520770252 is an apocalyptic number.

2520770252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520770252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055586688).

2520770252 is an abundant number, since it is smaller than the sum of its proper divisors (3590403124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2520770252 is an equidigital number, since it uses as much as digits as its factorization.

2520770252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 2520770252 is about 50207.2728994515. The cubic root of 2520770252 is about 1360.9570563040.

It can be divided in two parts, 25207 and 70252, that added together give a palindrome (95459).

The spelling of 2520770252 in words is "two billion, five hundred twenty million, seven hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 121 143 154 172 182 242 286 301 308 364 473 484 559 572 602 847 946 1001 1118 1204 1331 1573 1694 1892 2002 2236 2662 3146 3311 3388 3913 4004 5203 5324 6149 6292 6622 7826 9317 10406 11011 12298 13244 14641 15652 17303 18634 20812 22022 24596 29282 34606 36421 37268 43043 44044 57233 58564 67639 69212 72842 86086 102487 114466 121121 135278 145684 161051 172172 190333 204974 228932 242242 270556 322102 380666 400631 409948 473473 484484 629563 644204 744029 761332 801262 946946 1127357 1259126 1332331 1488058 1602524 1893892 2093663 2254714 2518252 2664662 2976116 4187326 4406941 4509428 5208203 5329324 6925193 8184319 8374652 8813882 10416406 13850386 14655641 16368638 17627764 20832812 27700772 29311282 32737276 48476351 57290233 58622564 90027509 96952702 114580466 180055018 193905404 229160932 360110036 630192563 1260385126 2520770252