2676979590912 has 1080 divisors, whose sum is σ = 9161925656576. Its totient is φ = 775982592000.

The previous prime is 2676979590853. The next prime is 2676979590913. The reversal of 2676979590912 is 2190959796762.

2676979590912 is a `hidden beast` number, since 26 + 7 + 6 + 9 + 7 + 9 + 590 + 9 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676979590913) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 9878153337 + ... + 9878153607.

Almost surely, 2^{2676979590912} is an apocalyptic number.

2676979590912 is a gapful number since it is divisible by the number (22) 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 2676979590912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580962828288).

2676979590912 is an abundant number, since it is smaller than the sum of its proper divisors (6484946065664).

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

2676979590912 is a wasteful number, since it uses less digits than its factorization.

2676979590912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 2676979590912 in words is "two trillion, six hundred seventy-six billion, nine hundred seventy-nine million, five hundred ninety thousand, nine hundred twelve".