2113879680 has 480 divisors, whose sum is σ = 8322334020. Its totient is φ = 510935040.

The previous prime is 2113879667. The next prime is 2113879697. The reversal of 2113879680 is 869783112.

It can be written as a sum of positive squares in 2 ways, for example, as 2037980736 + 75898944 = 45144^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272472 + ... + 6272808.

Almost surely, 2^2113879680 is an apocalyptic number.

2113879680 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 2113879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161167010).

2113879680 is an abundant number, since it is smaller than the sum of its proper divisors (6208454340).

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

2113879680 is a wasteful number, since it uses less digits than its factorization.

2113879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2113879680 is about 45976.9472670816. The cubic root of 2113879680 is about 1283.3942465418.

The spelling of 2113879680 in words is "two billion, one hundred thirteen million, eight hundred seventy-nine thousand, six hundred eighty".