2378456400 has 240 divisors, whose sum is σ = 8329609728. Its totient is φ = 577536000.

The previous prime is 2378456387. The next prime is 2378456401. The reversal of 2378456400 is 46548732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378456401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630520 + ... + 634280.

Almost surely, 2^2378456400 is an apocalyptic number.

2378456400 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 2378456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164804864).

2378456400 is an abundant number, since it is smaller than the sum of its proper divisors (5951153328).

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

2378456400 is a wasteful number, since it uses less digits than its factorization.

2378456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2378456400 is about 48769.4207470214. The cubic root of 2378456400 is about 1334.8477431598.

The spelling of 2378456400 in words is "two billion, three hundred seventy-eight million, four hundred fifty-six thousand, four hundred".