2613373880832 has 1280 divisors, whose sum is σ = 9695879424000. Its totient is φ = 691733053440.

The previous prime is 2613373880807. The next prime is 2613373880879. The reversal of 2613373880832 is 2380883733162.

2613373880832 is a `hidden beast` number, since 261 + 3 + 373 + 8 + 8 + 0 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3042344019 + ... + 3042344877.

It is an arithmetic number, because the mean of its divisors is an integer number (7574905800).

Almost surely, 2^{2613373880832} is an apocalyptic number.

2613373880832 is a gapful number since it is divisible by the number (22) 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 2613373880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847939712000).

2613373880832 is an abundant number, since it is smaller than the sum of its proper divisors (7082505543168).

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

2613373880832 is an equidigital number, since it uses as much as digits as its factorization.

2613373880832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2613373880832 in words is "two trillion, six hundred thirteen billion, three hundred seventy-three million, eight hundred eighty thousand, eight hundred thirty-two".