2674381602816 has 2160 divisors, whose sum is σ = 10877595456000. Its totient is φ = 629471969280.

The previous prime is 2674381602787. The next prime is 2674381602829. The reversal of 2674381602816 is 6182061834762.

It is a happy number.

2674381602816 is a `hidden beast` number, since 26 + 7 + 4 + 3 + 8 + 1 + 602 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116277460981 + ... + 116277461003.

Almost surely, 2^{2674381602816} 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 2674381602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438797728000).

2674381602816 is an abundant number, since it is smaller than the sum of its proper divisors (8203213853184).

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

2674381602816 is a wasteful number, since it uses less digits than its factorization.

2674381602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2674381602816 in words is "two trillion, six hundred seventy-four billion, three hundred eighty-one million, six hundred two thousand, eight hundred sixteen".