2113376664 has 128 divisors (see below), whose sum is σ = 6206400000. Its totient is φ = 599421312.

The previous prime is 2113376623. The next prime is 2113376701. The reversal of 2113376664 is 4666733112.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1225707 + ... + 1227429.

It is an arithmetic number, because the mean of its divisors is an integer number (48487500).

Almost surely, 2^2113376664 is an apocalyptic number.

2113376664 is a gapful number since it is divisible by the number (24) 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 2113376664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103200000).

2113376664 is an abundant number, since it is smaller than the sum of its proper divisors (4093023336).

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

2113376664 is a wasteful number, since it uses less digits than its factorization.

2113376664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1884 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 2113376664 is about 45971.4766349744. The cubic root of 2113376664 is about 1283.2924402029.

The spelling of 2113376664 in words is "two billion, one hundred thirteen million, three hundred seventy-six thousand, six hundred sixty-four".