2232878400 has 252 divisors, whose sum is σ = 8231542592. Its totient is φ = 595330560.

The previous prime is 2232878371. The next prime is 2232878411. The reversal of 2232878400 is 48782322.

2232878400 is a `hidden beast` number, since 223 + 28 + 7 + 8 + 400 = 666.

It is a super-3 number, since 3×2232878400³ (a number of 29 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 385929 + ... + 391671.

Almost surely, 2^2232878400 is an apocalyptic number.

2232878400 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 2232878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115771296).

2232878400 is an abundant number, since it is smaller than the sum of its proper divisors (5998664192).

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

2232878400 is an equidigital number, since it uses as much as digits as its factorization.

2232878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2232878400 is about 47253.3427389005. The cubic root of 2232878400 is about 1307.0384314013.

The spelling of 2232878400 in words is "two billion, two hundred thirty-two million, eight hundred seventy-eight thousand, four hundred".