2879824896 has 297 divisors, whose sum is σ = 9218556009. Its totient is φ = 865492992.

The previous prime is 2879824891. The next prime is 2879824897. The reversal of 2879824896 is 6984289782.

The square root of 2879824896 is 53664.

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

2879824896 is a `hidden beast` number, since 2 + 8 + 79 + 82 + 489 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426009600 + 2453815296 = 20640^2 + 49536^2 .

It is not an unprimeable number, because it can be changed into a prime (2879824891) 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, 66972651 + ... + 66972693.

Almost surely, 2^2879824896 is an apocalyptic number.

2879824896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2879824896 is the 53664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2879824896

2879824896 is an abundant number, since it is smaller than the sum of its proper divisors (6338731113).

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

2879824896 is a wasteful number, since it uses less digits than its factorization.

2879824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 61 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The cubic root of 2879824896 is about 1422.7284866632.

The spelling of 2879824896 in words is "two billion, eight hundred seventy-nine million, eight hundred twenty-four thousand, eight hundred ninety-six".