2124195921 has 27 divisors (see below), whose sum is σ = 3191741371. Its totient is φ = 1413641808.

The previous prime is 2124195907. The next prime is 2124195923. The reversal of 2124195921 is 1295914212.

The square root of 2124195921 is 46089.

It is a perfect power (a square), and thus also a powerful number.

2124195921 is a `hidden beast` number, since 21 + 2 + 41 + 9 + 592 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350101521 + 1774094400 = 18711^2 + 42120^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 2124195921 - 2⁷ = 2124195793 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2124195923) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3732925 + ... + 3733493.

Almost surely, 2^2124195921 is an apocalyptic number.

2124195921 is the 46089-th square number.

2124195921 is the 23045-th centered octagonal number.

It is an amenable number.

2124195921 is a deficient number, since it is larger than the sum of its proper divisors (1067545450).

2124195921 is an frugal number, since it uses more digits than its factorization.

2124195921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 572 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The cubic root of 2124195921 is about 1285.4786169479.

Multiplying 2124195921 by its sum of digits (36), we get a square (76471053156 = 276534²).

The spelling of 2124195921 in words is "two billion, one hundred twenty-four million, one hundred ninety-five thousand, nine hundred twenty-one".