2325413664 has 384 divisors, whose sum is σ = 8154316800. Its totient is φ = 630789120.

The previous prime is 2325413653. The next prime is 2325413729. The reversal of 2325413664 is 4663145232.

2325413664 is a `hidden beast` number, since 23 + 2 + 541 + 36 + 64 = 666.

2325413664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 14811474 + ... + 14811630.

It is an arithmetic number, because the mean of its divisors is an integer number (21235200).

Almost surely, 2^2325413664 is an apocalyptic number.

2325413664 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 2325413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077158400).

2325413664 is an abundant number, since it is smaller than the sum of its proper divisors (5828903136).

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

2325413664 is a wasteful number, since it uses less digits than its factorization.

2325413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2325413664 is about 48222.5431100435. The cubic root of 2325413664 is about 1324.8500913112.

Adding to 2325413664 its reverse (4663145232), we get a palindrome (6988558896).

The spelling of 2325413664 in words is "two billion, three hundred twenty-five million, four hundred thirteen thousand, six hundred sixty-four".