2546997605568 has 84 divisors (see below), whose sum is σ = 7862086381968. Its totient is φ = 783691568640.

The previous prime is 2546997605557. The next prime is 2546997605611. The reversal of 2546997605568 is 8655067996452.

It is a happy number.

2546997605568 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 9 + 9 + 7 + 60 + 556 + 8 = 666.

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 = 2546997605496 and 2546997605505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170064468 + ... + 170079443.

It is an arithmetic number, because the mean of its divisors is an integer number (93596266452).

Almost surely, 2^{2546997605568} is an apocalyptic number.

It is an amenable number.

2546997605568 is an abundant number, since it is smaller than the sum of its proper divisors (5315088776400).

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

2546997605568 is a wasteful number, since it uses less digits than its factorization.

2546997605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340143942 (or 340143929 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 2546997605568 in words is "two trillion, five hundred forty-six billion, nine hundred ninety-seven million, six hundred five thousand, five hundred sixty-eight".