2352331472400 has 2880 divisors, whose sum is σ = 11132834119680. Its totient is φ = 446106009600.

The previous prime is 2352331472399. The next prime is 2352331472429. The reversal of 2352331472400 is 42741332532.

2352331472400 is a `hidden beast` number, since 2 + 3 + 5 + 233 + 14 + 7 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14085817117 + ... + 14085817283.

Almost surely, 2^{2352331472400} is an apocalyptic number.

2352331472400 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 2352331472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566417059840).

2352331472400 is an abundant number, since it is smaller than the sum of its proper divisors (8780502647280).

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

2352331472400 is a wasteful number, since it uses less digits than its factorization.

2352331472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 2352331472400 in words is "two trillion, three hundred fifty-two billion, three hundred thirty-one million, four hundred seventy-two thousand, four hundred".