2998784617920 has 1512 divisors, whose sum is σ = 13476644882064. Its totient is φ = 632574738432.

The previous prime is 2998784617909. The next prime is 2998784617937. The reversal of 2998784617920 is 297164878992.

2998784617920 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 78 + 461 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 643928232 + ... + 643932888.

It is an arithmetic number, because the mean of its divisors is an integer number (8913124922).

Almost surely, 2^{2998784617920} is an apocalyptic number.

2998784617920 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 2998784617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738322441032).

2998784617920 is an abundant number, since it is smaller than the sum of its proper divisors (10477860264144).

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

2998784617920 is a wasteful number, since it uses less digits than its factorization.

2998784617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 2998784617920 in words is "two trillion, nine hundred ninety-eight billion, seven hundred eighty-four million, six hundred seventeen thousand, nine hundred twenty".