2690257752 has 512 divisors, whose sum is σ = 9957427200. Its totient is φ = 652935168.

The previous prime is 2690257741. The next prime is 2690257799. The reversal of 2690257752 is 2577520962.

2690257752 is a `hidden beast` number, since 26 + 9 + 0 + 2 + 577 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2690257698 and 2690257707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27734568 + ... + 27734664.

It is an arithmetic number, because the mean of its divisors is an integer number (19448100).

Almost surely, 2^2690257752 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 2690257752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978713600).

2690257752 is an abundant number, since it is smaller than the sum of its proper divisors (7267169448).

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

2690257752 is a wasteful number, since it uses less digits than its factorization.

2690257752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2690257752 is about 51867.6946856133. The cubic root of 2690257752 is about 1390.7998350308.

The spelling of 2690257752 in words is "two billion, six hundred ninety million, two hundred fifty-seven thousand, seven hundred fifty-two".