2325813984 has 144 divisors (see below), whose sum is σ = 7244218800. Its totient is φ = 703438848.

The previous prime is 2325813977. The next prime is 2325814003. The reversal of 2325813984 is 4893185232.

2325813984 is a `hidden beast` number, since 2 + 3 + 258 + 1 + 398 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215632 + ... + 226160.

It is an arithmetic number, because the mean of its divisors is an integer number (50307075).

Almost surely, 2^2325813984 is an apocalyptic number.

2325813984 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 2325813984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622109400).

2325813984 is an abundant number, since it is smaller than the sum of its proper divisors (4918404816).

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

2325813984 is a wasteful number, since it uses less digits than its factorization.

2325813984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617 (or 10606 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2325813984 is about 48226.6936872102. The cubic root of 2325813984 is about 1324.9261112707.

The spelling of 2325813984 in words is "two billion, three hundred twenty-five million, eight hundred thirteen thousand, nine hundred eighty-four".