2368872000 has 448 divisors, whose sum is σ = 9490740480. Its totient is φ = 573696000.

The previous prime is 2368871983. The next prime is 2368872019. The reversal of 2368872000 is 2788632.

It is a happy number.

It is a super-2 number, since 2×2368872000² = 11223109104768000000, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2375502 + ... + 2376498.

Almost surely, 2^2368872000 is an apocalyptic number.

2368872000 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 2368872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745370240).

2368872000 is an abundant number, since it is smaller than the sum of its proper divisors (7121868480).

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

2368872000 is a wasteful number, since it uses less digits than its factorization.

2368872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2368872000 is about 48671.0591625044. The cubic root of 2368872000 is about 1333.0523296708.

The spelling of 2368872000 in words is "two billion, three hundred sixty-eight million, eight hundred seventy-two thousand".