2677833920560 has 40 divisors (see below), whose sum is σ = 6226048757376. Its totient is φ = 1071118963200.

The previous prime is 2677833920537. The next prime is 2677833920609. The reversal of 2677833920560 is 650293387762.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2677833920560² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2677833920495 and 2677833920504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7162260 + ... + 7526860.

Almost surely, 2^{2677833920560} is an apocalyptic number.

2677833920560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2677833920560 is an abundant number, since it is smaller than the sum of its proper divisors (3548214836816).

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

2677833920560 is a wasteful number, since it uses less digits than its factorization.

2677833920560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456421 (or 456415 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 2677833920560 in words is "two trillion, six hundred seventy-seven billion, eight hundred thirty-three million, nine hundred twenty thousand, five hundred sixty".