2232568800 has 432 divisors, whose sum is σ = 9817621632. Its totient is φ = 463795200.

The previous prime is 2232568771. The next prime is 2232568817. The reversal of 2232568800 is 88652322.

It is a super-3 number, since 3×2232568800³ (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 71 ways as a sum of consecutive naturals, for example, 552387 + ... + 556413.

It is an arithmetic number, because the mean of its divisors is an integer number (22725976).

Almost surely, 2^2232568800 is an apocalyptic number.

2232568800 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 2232568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908810816).

2232568800 is an abundant number, since it is smaller than the sum of its proper divisors (7585052832).

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

2232568800 is a wasteful number, since it uses less digits than its factorization.

2232568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2232568800 is about 47250.0666666196. The cubic root of 2232568800 is about 1306.9780194233.

It can be divided in two parts, 22325 and 68800, that added together give a cube (91125 = 45³).

The spelling of 2232568800 in words is "two billion, two hundred thirty-two million, five hundred sixty-eight thousand, eight hundred".