2157042960 has 480 divisors, whose sum is σ = 8160227712. Its totient is φ = 527523840.

The previous prime is 2157042959. The next prime is 2157043027. The reversal of 2157042960 is 692407512.

2157042960 is a `hidden beast` number, since 2 + 1 + 570 + 4 + 29 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20159227 + ... + 20159333.

Almost surely, 2^2157042960 is an apocalyptic number.

2157042960 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 2157042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080113856).

2157042960 is an abundant number, since it is smaller than the sum of its proper divisors (6003184752).

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

2157042960 is a wasteful number, since it uses less digits than its factorization.

2157042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2157042960 is about 46443.9765739326. The cubic root of 2157042960 is about 1292.0706604123.

The spelling of 2157042960 in words is "two billion, one hundred fifty-seven million, forty-two thousand, nine hundred sixty".