2879754006240 has 72 divisors (see below), whose sum is σ = 9827160551208. Its totient is φ = 767934401280.

The previous prime is 2879754006223. The next prime is 2879754006307. The reversal of 2879754006240 is 426004579782.

2879754006240 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 7 + 5 + 4 + 0 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999913146 + ... + 999916025.

It is an arithmetic number, because the mean of its divisors is an integer number (136488340989).

Almost surely, 2^{2879754006240} is an apocalyptic number.

2879754006240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2879754006240 is an abundant number, since it is smaller than the sum of its proper divisors (6947406544968).

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

2879754006240 is a wasteful number, since it uses less digits than its factorization.

2879754006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999829192 (or 1999829181 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2879754006240 in words is "two trillion, eight hundred seventy-nine billion, seven hundred fifty-four million, six thousand, two hundred forty".