2913980798880 has 288 divisors, whose sum is σ = 9994027666896. Its totient is φ = 773154127872.

The previous prime is 2913980798857. The next prime is 2913980798903. The reversal of 2913980798880 is 888970893192.

2913980798880 is a `hidden beast` number, since 2 + 91 + 398 + 0 + 79 + 8 + 8 + 80 = 666.

2913980798880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2913980798857) and next prime (2913980798903).

It can be written as a sum of positive squares in 8 ways, for example, as 2091991962384 + 821988836496 = 1446372^2 + 906636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2913980798799 and 2913980798808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648557914 + ... + 648562406.

Almost surely, 2^{2913980798880} is an apocalyptic number.

2913980798880 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 2913980798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997013833448).

2913980798880 is an abundant number, since it is smaller than the sum of its proper divisors (7080046868016).

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

2913980798880 is a wasteful number, since it uses less digits than its factorization.

2913980798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 2913980798880 in words is "two trillion, nine hundred thirteen billion, nine hundred eighty million, seven hundred ninety-eight thousand, eight hundred eighty".