2127971664 has 120 divisors (see below), whose sum is σ = 7329725312. Its totient is φ = 561219840.

The previous prime is 2127971611. The next prime is 2127971701. The reversal of 2127971664 is 4661797212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68092 + ... + 94299.

Almost surely, 2^2127971664 is an apocalyptic number.

2127971664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2127971664 is an abundant number, since it is smaller than the sum of its proper divisors (5201753648).

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

2127971664 is a wasteful number, since it uses less digits than its factorization.

2127971664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162425 (or 162416 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2127971664 is about 46129.9432473096. The cubic root of 2127971664 is about 1286.2398091257.

The spelling of 2127971664 in words is "two billion, one hundred twenty-seven million, nine hundred seventy-one thousand, six hundred sixty-four".