2821521924 has 135 divisors (see below), whose sum is σ = 8022386757. Its totient is φ = 864336096.

The previous prime is 2821521919. The next prime is 2821521949. The reversal of 2821521924 is 4291251282.

The square root of 2821521924 is 53118.

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

2821521924 is a `hidden beast` number, since 28 + 21 + 521 + 92 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 417384900 + 2404137024 = 20430^2 + 49032^2 .

It is a super-2 number, since 2×2821521924² = 15921971935225323552, 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 44 ways as a sum of consecutive naturals, for example, 12429499 + ... + 12429725.

Almost surely, 2^2821521924 is an apocalyptic number.

2821521924 is the 53118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821521924

2821521924 is an abundant number, since it is smaller than the sum of its proper divisors (5200864833).

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

2821521924 is a wasteful number, since it uses less digits than its factorization.

2821521924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 245 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The cubic root of 2821521924 is about 1413.0617577508.

Multiplying 2821521924 by its sum of digits (36), we get a square (101574789264 = 318708²).

2821521924 divided by its sum of digits (36) gives a square (78375609 = 8853²).

The spelling of 2821521924 in words is "two billion, eight hundred twenty-one million, five hundred twenty-one thousand, nine hundred twenty-four".