2079905664 has 128 divisors (see below), whose sum is σ = 5975078400. Its totient is φ = 638541824.

The previous prime is 2079905587. The next prime is 2079905669. The reversal of 2079905664 is 4665099702.

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

It is a super-2 number, since 2×2079905664² = 8652015142278561792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079905669) 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, 303427 + ... + 310205.

It is an arithmetic number, because the mean of its divisors is an integer number (46680300).

Almost surely, 2^2079905664 is an apocalyptic number.

2079905664 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 2079905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987539200).

2079905664 is an abundant number, since it is smaller than the sum of its proper divisors (3895172736).

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

2079905664 is a wasteful number, since it uses less digits than its factorization.

2079905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 2079905664 is about 45605.9827654223. The cubic root of 2079905664 is about 1276.4815614057.

The spelling of 2079905664 in words is "two billion, seventy-nine million, nine hundred five thousand, six hundred sixty-four".