2389868800 has 216 divisors, whose sum is σ = 6546768480. Its totient is φ = 856473600.

The previous prime is 2389868783. The next prime is 2389868807. The reversal of 2389868800 is 88689832.

It is a happy number.

It is a super-2 number, since 2×2389868800² = 11422945762426880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2389868807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842996 + ... + 5843404.

Almost surely, 2^2389868800 is an apocalyptic number.

2389868800 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 2389868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273384240).

2389868800 is an abundant number, since it is smaller than the sum of its proper divisors (4156899680).

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

2389868800 is a wasteful number, since it uses less digits than its factorization.

2389868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 2389868800 is about 48886.2843750678. The cubic root of 2389868800 is about 1336.9793099423.

The spelling of 2389868800 in words is "two billion, three hundred eighty-nine million, eight hundred sixty-eight thousand, eight hundred".