2079876960 has 384 divisors, whose sum is σ = 8409139200. Its totient is φ = 470292480.

The previous prime is 2079876949. The next prime is 2079876961. The reversal of 2079876960 is 696789702.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2079876897 and 2079876906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079876961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3295845 + ... + 3296475.

It is an arithmetic number, because the mean of its divisors is an integer number (21898800).

Almost surely, 2^2079876960 is an apocalyptic number.

2079876960 is a gapful number since it is divisible by the number (20) 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 2079876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204569600).

2079876960 is an abundant number, since it is smaller than the sum of its proper divisors (6329262240).

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

2079876960 is a wasteful number, since it uses less digits than its factorization.

2079876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 2079876960 is about 45605.6680687829. The cubic root of 2079876960 is about 1276.4756892972.

The spelling of 2079876960 in words is "two billion, seventy-nine million, eight hundred seventy-six thousand, nine hundred sixty".