2142688032 has 48 divisors (see below), whose sum is σ = 6249509280. Its totient is φ = 714229056.

The previous prime is 2142688021. The next prime is 2142688057. The reversal of 2142688032 is 2308862412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2142688032² = 9182224004952066048, 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239118 + ... + 1240845.

It is an arithmetic number, because the mean of its divisors is an integer number (130198110).

Almost surely, 2^2142688032 is an apocalyptic number.

It is an amenable number.

2142688032 is an abundant number, since it is smaller than the sum of its proper divisors (4106821248).

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

2142688032 is a wasteful number, since it uses less digits than its factorization.

2142688032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479982 (or 2479968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2142688032 is about 46289.1783465639. The cubic root of 2142688032 is about 1289.1980737885.

The spelling of 2142688032 in words is "two billion, one hundred forty-two million, six hundred eighty-eight thousand, thirty-two".