2680784954496 has 1024 divisors, whose sum is σ = 9179412480000. Its totient is φ = 762753024000.

The previous prime is 2680784954431. The next prime is 2680784954509. The reversal of 2680784954496 is 6944594870862.

2680784954496 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 7 + 8 + 495 + 44 + 96 = 666.

It is a super-2 number, since 2×2680784954496² (a number of 26 digits) contains 22 as substring.

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

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, 6398054575 + ... + 6398054993.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270000).

Almost surely, 2^{2680784954496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680784954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589706240000).

2680784954496 is an abundant number, since it is smaller than the sum of its proper divisors (6498627525504).

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

2680784954496 is a wasteful number, since it uses less digits than its factorization.

2680784954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 2680784954496 in words is "two trillion, six hundred eighty billion, seven hundred eighty-four million, nine hundred fifty-four thousand, four hundred ninety-six".