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2520607264 = 25745724623
BaseRepresentation
bin1001011000111101…
…0110101000100000
320111122222010010121
42112033112220200
520130233413024
61054041210024
7116314544140
oct22617265040
96448863117
102520607264
1110838a95aa
125a4190914
133122960b6
1419ca96920
15eb44b8e4
hex963d6a20

2520607264 has 48 divisors (see below), whose sum is σ = 5684007168. Its totient is φ = 1077852672.

The previous prime is 2520607261. The next prime is 2520607301. The reversal of 2520607264 is 4627060252.

It is not an unprimeable number, because it can be changed into a prime (2520607261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90057 + ... + 114679.

It is an arithmetic number, because the mean of its divisors is an integer number (118416816).

Almost surely, 22520607264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842003584).

2520607264 is an abundant number, since it is smaller than the sum of its proper divisors (3163399904).

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

2520607264 is a wasteful number, since it uses less digits than its factorization.

2520607264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25097 (or 25089 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2520607264 is about 50205.6497219187. The cubic root of 2520607264 is about 1360.9277234114.

The spelling of 2520607264 in words is "two billion, five hundred twenty million, six hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 457 914 1828 3199 3656 6398 7312 12796 14624 24623 25592 49246 51184 98492 102368 172361 196984 344722 393968 689444 787936 1378888 2757776 5515552 11252711 22505422 45010844 78768977 90021688 157537954 180043376 315075908 360086752 630151816 1260303632 2520607264