2142608512 has 32 divisors (see below), whose sum is σ = 4656524400. Its totient is φ = 973912320.

The previous prime is 2142608509. The next prime is 2142608513. The reversal of 2142608512 is 2158062412.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2142608513) 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 3 ways as a sum of consecutive naturals, for example, 759462 + ... + 762277.

Almost surely, 2^2142608512 is an apocalyptic number.

2142608512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2142608512 is an abundant number, since it is smaller than the sum of its proper divisors (2513915888).

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

2142608512 is a wasteful number, since it uses less digits than its factorization.

2142608512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521764 (or 1521752 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2142608512 is about 46288.3193905331. The cubic root of 2142608512 is about 1289.1821252389.

The spelling of 2142608512 in words is "two billion, one hundred forty-two million, six hundred eight thousand, five hundred twelve".