2130906960 has 640 divisors, whose sum is σ = 9309404160. Its totient is φ = 435953664.

The previous prime is 2130906959. The next prime is 2130906983. The reversal of 2130906960 is 696090312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7272574 + ... + 7272866.

It is an arithmetic number, because the mean of its divisors is an integer number (14545944).

Almost surely, 2^2130906960 is an apocalyptic number.

2130906960 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 2130906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654702080).

2130906960 is an abundant number, since it is smaller than the sum of its proper divisors (7178497200).

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

2130906960 is a wasteful number, since it uses less digits than its factorization.

2130906960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2130906960 is about 46161.7478005329. The cubic root of 2130906960 is about 1286.8309448073.

The spelling of 2130906960 in words is "two billion, one hundred thirty million, nine hundred six thousand, nine hundred sixty".