2575210752 has 144 divisors (see below), whose sum is σ = 8016568000. Its totient is φ = 813182976.

The previous prime is 2575210721. The next prime is 2575210763. The reversal of 2575210752 is 2570125752.

2575210752 is a `hidden beast` number, since 2 + 575 + 2 + 10 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121524 + ... + 141132.

Almost surely, 2^2575210752 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 2575210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008284000).

2575210752 is an abundant number, since it is smaller than the sum of its proper divisors (5441357248).

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

2575210752 is a wasteful number, since it uses less digits than its factorization.

2575210752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19653 (or 19633 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 2575210752 is about 50746.5343841331. The cubic root of 2575210752 is about 1370.6847859714.

The spelling of 2575210752 in words is "two billion, five hundred seventy-five million, two hundred ten thousand, seven hundred fifty-two".