2113751808 has 324 divisors, whose sum is σ = 7364470680. Its totient is φ = 596284416.

The previous prime is 2113751807. The next prime is 2113751839. The reversal of 2113751808 is 8081573112.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2113751808 is a `hidden beast` number, since 2 + 1 + 137 + 518 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2113751807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 26756313 + ... + 26756391.

Almost surely, 2^2113751808 is an apocalyptic number.

2113751808 is a gapful number since it is divisible by the number (28) 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 2113751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682235340).

2113751808 is an abundant number, since it is smaller than the sum of its proper divisors (5250718872).

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

2113751808 is an frugal number, since it uses more digits than its factorization.

2113751808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 2113751808 is about 45975.5566361083. The cubic root of 2113751808 is about 1283.3683678223.

The spelling of 2113751808 in words is "two billion, one hundred thirteen million, seven hundred fifty-one thousand, eight hundred eight".