2142568512 has 126 divisors (see below), whose sum is σ = 7144038798. Its totient is φ = 612154368.

The previous prime is 2142568507. The next prime is 2142568523. The reversal of 2142568512 is 2158652412.

2142568512 is a `hidden beast` number, since 2 + 1 + 42 + 568 + 51 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2012060736 + 130507776 = 44856^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×2142568512² = 9181199657227788288, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9733 + ... + 66180.

Almost surely, 2^2142568512 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 2142568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572019399).

2142568512 is an abundant number, since it is smaller than the sum of its proper divisors (5001470286).

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

2142568512 is a wasteful number, since it uses less digits than its factorization.

2142568512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75945 (or 75925 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2142568512 is about 46287.8873140695. The cubic root of 2142568512 is about 1289.1741026805.

The spelling of 2142568512 in words is "two billion, one hundred forty-two million, five hundred sixty-eight thousand, five hundred twelve".