2685914090496 has 1320 divisors, whose sum is σ = 10257618269184. Its totient is φ = 684745850880.

The previous prime is 2685914090441. The next prime is 2685914090539. The reversal of 2685914090496 is 6940904195862.

2685914090496 is a `hidden beast` number, since 2 + 6 + 8 + 59 + 1 + 4 + 0 + 90 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3041804871 + ... + 3041805753.

Almost surely, 2^{2685914090496} is an apocalyptic number.

2685914090496 is a gapful number since it is divisible by the number (26) 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 2685914090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128809134592).

2685914090496 is an abundant number, since it is smaller than the sum of its proper divisors (7571704178688).

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

2685914090496 is a wasteful number, since it uses less digits than its factorization.

2685914090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 2685914090496 in words is "two trillion, six hundred eighty-five billion, nine hundred fourteen million, ninety thousand, four hundred ninety-six".