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2530242520 = 2351329316607
BaseRepresentation
bin1001011011010000…
…0110111111011000
320112100002122012221
42112310012333120
520140220230040
61055023513424
7116462464231
oct22664067730
96470078187
102530242520
11108928a723
125a7458874
1331428a930
141a0084088
15ec20174a
hex96d06fd8

2530242520 has 64 divisors (see below), whose sum is σ = 6152267520. Its totient is φ = 930998784.

The previous prime is 2530242511. The next prime is 2530242529. The reversal of 2530242520 is 252420352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2530242511) and next prime (2530242529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530242529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 144057 + ... + 160663.

It is an arithmetic number, because the mean of its divisors is an integer number (96129180).

Almost surely, 22530242520 is an apocalyptic number.

2530242520 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 2530242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076133760).

2530242520 is an abundant number, since it is smaller than the sum of its proper divisors (3622025000).

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

2530242520 is a wasteful number, since it uses less digits than its factorization.

2530242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2530242520 is about 50301.5160805318. The cubic root of 2530242520 is about 1362.6596095038.

Adding to 2530242520 its reverse (252420352), we get a palindrome (2782662872).

The spelling of 2530242520 in words is "two billion, five hundred thirty million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 293 520 586 1172 1465 2344 2930 3809 5860 7618 11720 15236 16607 19045 30472 33214 38090 66428 76180 83035 132856 152360 166070 215891 332140 431782 664280 863564 1079455 1727128 2158910 4317820 4865851 8635640 9731702 19463404 24329255 38926808 48658510 63256063 97317020 126512126 194634040 253024252 316280315 506048504 632560630 1265121260 2530242520