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2520605420 = 2252383107617
BaseRepresentation
bin1001011000111101…
…0110001011101100
320111122222000121022
42112033112023230
520130233333140
61054041153312
7116314535564
oct22617261354
96448860538
102520605420
1110838a8183
125a418b838
133122952c8
1419ca95da4
15eb44b0b5
hex963d62ec

2520605420 has 96 divisors (see below), whose sum is σ = 5651347968. Its totient is φ = 942351872.

The previous prime is 2520605411. The next prime is 2520605491. The reversal of 2520605420 is 245060252.

It is a self number, because there is not a number n which added to its sum of digits gives 2520605420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084952 + ... + 4085568.

It is an arithmetic number, because the mean of its divisors is an integer number (58868208).

Almost surely, 22520605420 is an apocalyptic number.

2520605420 is a gapful number since it is divisible by the number (20) 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 2520605420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825673984).

2520605420 is an abundant number, since it is smaller than the sum of its proper divisors (3130742548).

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

2520605420 is a wasteful number, since it uses less digits than its factorization.

2520605420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2520605420 is about 50205.6313574483. The cubic root of 2520605420 is about 1360.9273915401.

Adding to 2520605420 its reverse (245060252), we get a palindrome (2765665672).

The spelling of 2520605420 in words is "two billion, five hundred twenty million, six hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 83 92 107 115 166 214 230 332 415 428 460 535 617 830 1070 1234 1660 1909 2140 2461 2468 3085 3818 4922 6170 7636 8881 9545 9844 12305 12340 14191 17762 19090 24610 28382 35524 38180 44405 49220 51211 56764 66019 70955 88810 102422 132038 141910 177620 204263 204844 256055 264076 283820 330095 408526 512110 660190 817052 1021315 1024220 1177853 1320380 1518437 2042630 2355706 3036874 4085260 4711412 5479577 5889265 6073748 7592185 10959154 11778530 15184370 21918308 23557060 27397885 30368740 54795770 109591540 126030271 252060542 504121084 630151355 1260302710 2520605420