2332972800 has 432 divisors, whose sum is σ = 8941927680. Its totient is φ = 594063360.

The previous prime is 2332972727. The next prime is 2332972819. The reversal of 2332972800 is 82792332.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974107 + ... + 3974693.

Almost surely, 2^2332972800 is an apocalyptic number.

2332972800 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 2332972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470963840).

2332972800 is an abundant number, since it is smaller than the sum of its proper divisors (6608954880).

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

2332972800 is a wasteful number, since it uses less digits than its factorization.

2332972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2332972800 is about 48300.8571352518. The cubic root of 2332972800 is about 1326.2840856487.

The spelling of 2332972800 in words is "two billion, three hundred thirty-two million, nine hundred seventy-two thousand, eight hundred".