2318378400 has 864 divisors, whose sum is σ = 9827371008. Its totient is φ = 508723200.

The previous prime is 2318378371. The next prime is 2318378429. The reversal of 2318378400 is 48738132.

2318378400 is a `hidden beast` number, since 2 + 3 + 183 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2318378371) and next prime (2318378429).

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 143 ways as a sum of consecutive naturals, for example, 49327177 + ... + 49327223.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^2318378400 is an apocalyptic number.

2318378400 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 2318378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913685504).

2318378400 is an abundant number, since it is smaller than the sum of its proper divisors (7508992608).

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

2318378400 is a wasteful number, since it uses less digits than its factorization.

2318378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

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

The square root of 2318378400 is about 48149.5420538970. The cubic root of 2318378400 is about 1323.5126825946.

The spelling of 2318378400 in words is "two billion, three hundred eighteen million, three hundred seventy-eight thousand, four hundred".