2130879960 has 320 divisors, whose sum is σ = 8275180320. Its totient is φ = 486051840.

The previous prime is 2130879901. The next prime is 2130879967. The reversal of 2130879960 is 699780312.

2130879960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130879967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 604122 + ... + 607638.

Almost surely, 2^2130879960 is an apocalyptic number.

2130879960 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 2130879960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137590160).

2130879960 is an abundant number, since it is smaller than the sum of its proper divisors (6144300360).

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

2130879960 is a wasteful number, since it uses less digits than its factorization.

2130879960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2130879960 is about 46161.4553496746. The cubic root of 2130879960 is about 1286.8255097848.

The spelling of 2130879960 in words is "two billion, one hundred thirty million, eight hundred seventy-nine thousand, nine hundred sixty".