2140875360 has 480 divisors, whose sum is σ = 8283334752. Its totient is φ = 517570560.

The previous prime is 2140875353. The next prime is 2140875383. The reversal of 2140875360 is 635780412.

2140875360 is a `hidden beast` number, since 2 + 1 + 40 + 87 + 536 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16342495 + ... + 16342625.

Almost surely, 2^2140875360 is an apocalyptic number.

2140875360 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 2140875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141667376).

2140875360 is an abundant number, since it is smaller than the sum of its proper divisors (6142459392).

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

2140875360 is a wasteful number, since it uses less digits than its factorization.

2140875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2140875360 is about 46269.5943358055. The cubic root of 2140875360 is about 1288.8344258045.

The spelling of 2140875360 in words is "two billion, one hundred forty million, eight hundred seventy-five thousand, three hundred sixty".