2112762960 has 320 divisors, whose sum is σ = 9073704960. Its totient is φ = 438981120.

The previous prime is 2112762929. The next prime is 2112762961. The reversal of 2112762960 is 692672112.

2112762960 is a `hidden beast` number, since 2 + 1 + 1 + 27 + 629 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112762961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159969 + ... + 172671.

It is an arithmetic number, because the mean of its divisors is an integer number (28355328).

Almost surely, 2^2112762960 is an apocalyptic number.

2112762960 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 2112762960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536852480).

2112762960 is an abundant number, since it is smaller than the sum of its proper divisors (6960942000).

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

2112762960 is a wasteful number, since it uses less digits than its factorization.

2112762960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2112762960 is about 45964.8013157895. The cubic root of 2112762960 is about 1283.1682096350.

The spelling of 2112762960 in words is "two billion, one hundred twelve million, seven hundred sixty-two thousand, nine hundred sixty".