2115688064 has 128 divisors (see below), whose sum is σ = 4992451200. Its totient is φ = 874266624.

The previous prime is 2115688061. The next prime is 2115688087. The reversal of 2115688064 is 4608865112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2115688064² = 8952271968304136192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2115688061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3428684 + ... + 3429300.

It is an arithmetic number, because the mean of its divisors is an integer number (39003525).

Almost surely, 2^2115688064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496225600).

2115688064 is an abundant number, since it is smaller than the sum of its proper divisors (2876763136).

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

2115688064 is an equidigital number, since it uses as much as digits as its factorization.

2115688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 2115688064 is about 45996.6092663361. The cubic root of 2115688064 is about 1283.7601153812.

The spelling of 2115688064 in words is "two billion, one hundred fifteen million, six hundred eighty-eight thousand, sixty-four".