2378894800 has 120 divisors (see below), whose sum is σ = 5834477016. Its totient is φ = 931921920.

The previous prime is 2378894773. The next prime is 2378894803. The reversal of 2378894800 is 84988732.

It can be written as a sum of positive squares in 12 ways, for example, as 438316096 + 1940578704 = 20936^2 + 44052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378894803) 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, 7504242 + ... + 7504558.

Almost surely, 2^2378894800 is an apocalyptic number.

2378894800 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 2378894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917238508).

2378894800 is an abundant number, since it is smaller than the sum of its proper divisors (3455582216).

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

2378894800 is a wasteful number, since it uses less digits than its factorization.

2378894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 2378894800 is about 48773.9151596425. The cubic root of 2378894800 is about 1334.9297517123.

The spelling of 2378894800 in words is "two billion, three hundred seventy-eight million, eight hundred ninety-four thousand, eight hundred".