2535905664 has 256 divisors, whose sum is σ = 7953062400. Its totient is φ = 793774080.

The previous prime is 2535905639. The next prime is 2535905683. The reversal of 2535905664 is 4665095352.

2535905664 is a `hidden beast` number, since 2 + 5 + 3 + 590 + 56 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4848507 + ... + 4849029.

It is an arithmetic number, because the mean of its divisors is an integer number (31066650).

Almost surely, 2^2535905664 is an apocalyptic number.

2535905664 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 2535905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976531200).

2535905664 is an abundant number, since it is smaller than the sum of its proper divisors (5417156736).

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

2535905664 is a wasteful number, since it uses less digits than its factorization.

2535905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 2535905664 is about 50357.7765990517. The cubic root of 2535905664 is about 1363.6754788489.

The spelling of 2535905664 in words is "two billion, five hundred thirty-five million, nine hundred five thousand, six hundred sixty-four".