2925425664 has 264 divisors, whose sum is σ = 9753676608. Its totient is φ = 827228160.

The previous prime is 2925425651. The next prime is 2925425669. The reversal of 2925425664 is 4665245292.

2925425664 is a `hidden beast` number, since 29 + 25 + 42 + 566 + 4 = 666.

Its product of digits (1036800) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925425669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8837979 + ... + 8838309.

Almost surely, 2^2925425664 is an apocalyptic number.

2925425664 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 2925425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876838304).

2925425664 is an abundant number, since it is smaller than the sum of its proper divisors (6828250944).

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

2925425664 is a wasteful number, since it uses less digits than its factorization.

2925425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2925425664 is about 54087.2042538714. The cubic root of 2925425664 is about 1430.1986233632.

The spelling of 2925425664 in words is "two billion, nine hundred twenty-five million, four hundred twenty-five thousand, six hundred sixty-four".