2115011664 has 120 divisors (see below), whose sum is σ = 6020239680. Its totient is φ = 693057024.

The previous prime is 2115011653. The next prime is 2115011669. The reversal of 2115011664 is 4661105112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115011669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2908869 + ... + 2909595.

It is an arithmetic number, because the mean of its divisors is an integer number (50168664).

Almost surely, 2^2115011664 is an apocalyptic number.

2115011664 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 2115011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010119840).

2115011664 is an abundant number, since it is smaller than the sum of its proper divisors (3905228016).

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

2115011664 is a wasteful number, since it uses less digits than its factorization.

2115011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2115011664 is about 45989.2559626702. The cubic root of 2115011664 is about 1283.6232918247.

Adding to 2115011664 its reverse (4661105112), we get a palindrome (6776116776).

The spelling of 2115011664 in words is "two billion, one hundred fifteen million, eleven thousand, six hundred sixty-four".