2378956800 has 342 divisors, whose sum is σ = 8646541204. Its totient is φ = 576716800.

The previous prime is 2378956799. The next prime is 2378956819. The reversal of 2378956800 is 86598732.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2378956800.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 216268795 + ... + 216268805.

Almost surely, 2^2378956800 is an apocalyptic number.

2378956800 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 2378956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323270602).

2378956800 is an abundant number, since it is smaller than the sum of its proper divisors (6267584404).

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

2378956800 is an frugal number, since it uses more digits than its factorization.

2378956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2378956800 is about 48774.5507411396. The cubic root of 2378956800 is about 1334.9413488239.

Multiplying 2378956800 by its sum of digits (48), we get a square (114189926400 = 337920²).

2378956800 divided by its sum of digits (48) gives a square (49561600 = 7040²).

The spelling of 2378956800 in words is "two billion, three hundred seventy-eight million, nine hundred fifty-six thousand, eight hundred".