2125127664 has 100 divisors (see below), whose sum is σ = 6709938840. Its totient is φ = 643973760.

The previous prime is 2125127633. The next prime is 2125127677. The reversal of 2125127664 is 4667215212.

It is a happy number.

2125127664 is a `hidden beast` number, since 2 + 12 + 512 + 76 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60279 + ... + 88790.

Almost surely, 2^2125127664 is an apocalyptic number.

2125127664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2125127664 is an abundant number, since it is smaller than the sum of its proper divisors (4584811176).

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

2125127664 is a wasteful number, since it uses less digits than its factorization.

2125127664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149100 (or 149085 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2125127664 is about 46099.1069761660. The cubic root of 2125127664 is about 1285.6665407032. Note that the first 3 decimals are identical.

The spelling of 2125127664 in words is "two billion, one hundred twenty-five million, one hundred twenty-seven thousand, six hundred sixty-four".