2142127824 has 40 divisors (see below), whose sum is σ = 5590892160. Its totient is φ = 706679808.

The previous prime is 2142127783. The next prime is 2142127843. The reversal of 2142127824 is 4287212412.

It is a super-2 number, since 2×2142127824² = 9177423228709949952, which contains 22 as substring.

It is a congruent number.

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, 225384 + ... + 234695.

It is an arithmetic number, because the mean of its divisors is an integer number (139772304).

Almost surely, 2^2142127824 is an apocalyptic number.

2142127824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142127824 is an abundant number, since it is smaller than the sum of its proper divisors (3448764336).

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

2142127824 is a wasteful number, since it uses less digits than its factorization.

2142127824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460187 (or 460181 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2142127824 is about 46283.1267742360. The cubic root of 2142127824 is about 1289.0857099392.

The spelling of 2142127824 in words is "two billion, one hundred forty-two million, one hundred twenty-seven thousand, eight hundred twenty-four".