2113589664 has 144 divisors (see below), whose sum is σ = 6213759552. Its totient is φ = 681053184.

The previous prime is 2113589657. The next prime is 2113589677. The reversal of 2113589664 is 4669853112.

2113589664 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 589 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2113589664² = 8934522535535265792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274724 + ... + 1276380.

It is an arithmetic number, because the mean of its divisors is an integer number (43151108).

Almost surely, 2^2113589664 is an apocalyptic number.

2113589664 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 2113589664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106879776).

2113589664 is an abundant number, since it is smaller than the sum of its proper divisors (4100169888).

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

2113589664 is a wasteful number, since it uses less digits than its factorization.

2113589664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1808 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2113589664 is about 45973.7932304917. The cubic root of 2113589664 is about 1283.3355516388.

The spelling of 2113589664 in words is "two billion, one hundred thirteen million, five hundred eighty-nine thousand, six hundred sixty-four".