2652113664 has 162 divisors, whose sum is σ = 7945426580. Its totient is φ = 883478016.

The previous prime is 2652113627. The next prime is 2652113671. The reversal of 2652113664 is 4663112562.

It is a tau number, because it is divible by the number of its divisors (162).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1678827 + ... + 1680405.

Almost surely, 2^2652113664 is an apocalyptic number.

2652113664 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 2652113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972713290).

2652113664 is an abundant number, since it is smaller than the sum of its proper divisors (5293312916).

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

2652113664 is an frugal number, since it uses more digits than its factorization.

2652113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1584 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2652113664 is about 51498.6763325039. The cubic root of 2652113664 is about 1384.1953236528.

The spelling of 2652113664 in words is "two billion, six hundred fifty-two million, one hundred thirteen thousand, six hundred sixty-four".