2879981936640 has 336 divisors, whose sum is σ = 10082303184096. Its totient is φ = 760381440000.

The previous prime is 2879981936633. The next prime is 2879981936659. The reversal of 2879981936640 is 466391899782.

2879981936640 is a `hidden beast` number, since 287 + 99 + 81 + 93 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37193965 + ... + 37271315.

Almost surely, 2^{2879981936640} is an apocalyptic number.

2879981936640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2879981936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041151592048).

2879981936640 is an abundant number, since it is smaller than the sum of its proper divisors (7202321247456).

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

2879981936640 is a wasteful number, since it uses less digits than its factorization.

2879981936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77489 (or 77462 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 2879981936640 in words is "two trillion, eight hundred seventy-nine billion, nine hundred eighty-one million, nine hundred thirty-six thousand, six hundred forty".