2113994678400 has 1152 divisors, whose sum is σ = 8541793915200. Its totient is φ = 510205132800.

The previous prime is 2113994678381. The next prime is 2113994678407. The reversal of 2113994678400 is 48764993112.

2113994678400 is a `hidden beast` number, since 2 + 1 + 13 + 99 + 467 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2113994678407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4526754967 + ... + 4526755433.

Almost surely, 2^{2113994678400} is an apocalyptic number.

2113994678400 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 2113994678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270896957600).

2113994678400 is an abundant number, since it is smaller than the sum of its proper divisors (6427799236800).

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

2113994678400 is a wasteful number, since it uses less digits than its factorization.

2113994678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2113994678400 in words is "two trillion, one hundred thirteen billion, nine hundred ninety-four million, six hundred seventy-eight thousand, four hundred".