2674761878800 has 60 divisors (see below), whose sum is σ = 7010307735696. Its totient is φ = 972640681600.

The previous prime is 2674761878773. The next prime is 2674761878807. The reversal of 2674761878800 is 88781674762.

It is a super-2 number, since 2×2674761878800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2674761878807) 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 11 ways as a sum of consecutive naturals, for example, 303945814 + ... + 303954613.

Almost surely, 2^{2674761878800} is an apocalyptic number.

2674761878800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2674761878800 is an abundant number, since it is smaller than the sum of its proper divisors (4335545856896).

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

2674761878800 is a wasteful number, since it uses less digits than its factorization.

2674761878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607900456 (or 607900445 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 64.

The spelling of 2674761878800 in words is "two trillion, six hundred seventy-four billion, seven hundred sixty-one million, eight hundred seventy-eight thousand, eight hundred".