2693680359552 has 768 divisors, whose sum is σ = 10118389881600. Its totient is φ = 667501461504.

The previous prime is 2693680359509. The next prime is 2693680359563. The reversal of 2693680359552 is 2559530863962.

2693680359552 is a `hidden beast` number, since 2 + 6 + 9 + 36 + 8 + 0 + 3 + 595 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2693680359552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1655610963 + ... + 1655612589.

It is an arithmetic number, because the mean of its divisors is an integer number (13174986825).

Almost surely, 2^{2693680359552} 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 2693680359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059194940800).

2693680359552 is an abundant number, since it is smaller than the sum of its proper divisors (7424709522048).

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

2693680359552 is a wasteful number, since it uses less digits than its factorization.

2693680359552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 2693680359552 in words is "two trillion, six hundred ninety-three billion, six hundred eighty million, three hundred fifty-nine thousand, five hundred fifty-two".