2674868676480 has 2560 divisors, whose sum is σ = 13505663001600. Its totient is φ = 485879316480.

The previous prime is 2674868676479. The next prime is 2674868676497. The reversal of 2674868676480 is 846768684762.

2674868676480 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 86 + 8 + 67 + 6 + 480 = 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 = 2674868676399 and 2674868676408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 985943604 + ... + 985946316.

It is an arithmetic number, because the mean of its divisors is an integer number (5275649610).

Almost surely, 2^{2674868676480} is an apocalyptic number.

2674868676480 is a gapful number since it is divisible by the number (20) 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 2674868676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752831500800).

2674868676480 is an abundant number, since it is smaller than the sum of its proper divisors (10830794325120).

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

2674868676480 is a wasteful number, since it uses less digits than its factorization.

2674868676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 2674868676480 in words is "two trillion, six hundred seventy-four billion, eight hundred sixty-eight million, six hundred seventy-six thousand, four hundred eighty".