2113270835400 has 336 divisors, whose sum is σ = 7370715364560. Its totient is φ = 563228899200.

The previous prime is 2113270835359. The next prime is 2113270835477. The reversal of 2113270835400 is 45380723112.

2113270835400 is a `hidden beast` number, since 2 + 1 + 1 + 32 + 7 + 0 + 83 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 408674815 + ... + 408679985.

Almost surely, 2^{2113270835400} is an apocalyptic number.

2113270835400 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 2113270835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685357682280).

2113270835400 is an abundant number, since it is smaller than the sum of its proper divisors (5257444529160).

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

2113270835400 is a wasteful number, since it uses less digits than its factorization.

2113270835400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2113270835400 in words is "two trillion, one hundred thirteen billion, two hundred seventy million, eight hundred thirty-five thousand, four hundred".