2392538400 has 432 divisors, whose sum is σ = 9910240704. Its totient is φ = 531671040.

The previous prime is 2392538383. The next prime is 2392538461. The reversal of 2392538400 is 48352932.

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 71 ways as a sum of consecutive naturals, for example, 1864159 + ... + 1865441.

It is an arithmetic number, because the mean of its divisors is an integer number (22940372).

Almost surely, 2^2392538400 is an apocalyptic number.

2392538400 is a gapful number since it is divisible by the number (20) 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 2392538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955120352).

2392538400 is an abundant number, since it is smaller than the sum of its proper divisors (7517702304).

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

2392538400 is a wasteful number, since it uses less digits than its factorization.

2392538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2392538400 is about 48913.5809361776. The cubic root of 2392538400 is about 1337.4769483901.

The spelling of 2392538400 in words is "two billion, three hundred ninety-two million, five hundred thirty-eight thousand, four hundred".