2112678400 has 480 divisors, whose sum is σ = 6758674560. Its totient is φ = 637009920.

The previous prime is 2112678377. The next prime is 2112678413. The reversal of 2112678400 is 48762112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28940764 + ... + 28940836.

It is an arithmetic number, because the mean of its divisors is an integer number (14080572).

Almost surely, 2^2112678400 is an apocalyptic number.

2112678400 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 2112678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379337280).

2112678400 is an abundant number, since it is smaller than the sum of its proper divisors (4645996160).

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

2112678400 is a wasteful number, since it uses less digits than its factorization.

2112678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2112678400 is about 45963.8814723039. The cubic root of 2112678400 is about 1283.1510904798.

The spelling of 2112678400 in words is "two billion, one hundred twelve million, six hundred seventy-eight thousand, four hundred".