2575941264 has 300 divisors, whose sum is σ = 8511769200. Its totient is φ = 749668608.

The previous prime is 2575941259. The next prime is 2575941289. The reversal of 2575941264 is 4621495752.

2575941264 is a `hidden beast` number, since 2 + 57 + 594 + 1 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4161147 + ... + 4161765.

It is an arithmetic number, because the mean of its divisors is an integer number (28372564).

Almost surely, 2^2575941264 is an apocalyptic number.

2575941264 is a gapful number since it is divisible by the number (24) 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 2575941264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255884600).

2575941264 is an abundant number, since it is smaller than the sum of its proper divisors (5935827936).

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

2575941264 is a wasteful number, since it uses less digits than its factorization.

2575941264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 656 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2575941264 is about 50753.7315278394. The cubic root of 2575941264 is about 1370.8143814512.

The spelling of 2575941264 in words is "two billion, five hundred seventy-five million, nine hundred forty-one thousand, two hundred sixty-four".