2324016400 has 60 divisors (see below), whose sum is σ = 5588118900. Its totient is φ = 928829440.

The previous prime is 2324016397. The next prime is 2324016419. The reversal of 2324016400 is 46104232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1547536 + 2322468864 = 1244^2 + 48192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850236 + ... + 852964.

It is an arithmetic number, because the mean of its divisors is an integer number (93135315).

Almost surely, 2^2324016400 is an apocalyptic number.

2324016400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2324016400 is an abundant number, since it is smaller than the sum of its proper divisors (3264102500).

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

2324016400 is a wasteful number, since it uses less digits than its factorization.

2324016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2324016400 is about 48208.0532691375. The cubic root of 2324016400 is about 1324.5846853093.

The spelling of 2324016400 in words is "two billion, three hundred twenty-four million, sixteen thousand, four hundred".