2142500976 has 320 divisors, whose sum is σ = 7935206400. Its totient is φ = 537062400.

The previous prime is 2142500917. The next prime is 2142500977. The reversal of 2142500976 is 6790052412.

2142500976 is a `hidden beast` number, since 2 + 142 + 500 + 9 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2142500976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142500977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963546 + ... + 965766.

It is an arithmetic number, because the mean of its divisors is an integer number (24797520).

Almost surely, 2^2142500976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142500976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967603200).

2142500976 is an abundant number, since it is smaller than the sum of its proper divisors (5792705424).

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

2142500976 is a wasteful number, since it uses less digits than its factorization.

2142500976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2273 counting only the distinct ones).

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

The square root of 2142500976 is about 46287.1577870147. The cubic root of 2142500976 is about 1289.1605571662.

The spelling of 2142500976 in words is "two billion, one hundred forty-two million, five hundred thousand, nine hundred seventy-six".