2674758849960 has 256 divisors, whose sum is σ = 8627711811840. Its totient is φ = 660939079680.

The previous prime is 2674758849947. The next prime is 2674758849967. The reversal of 2674758849960 is 699488574762.

It is a Cunningham number, because it is equal to 1635469²-1.

It is not an unprimeable number, because it can be changed into a prime (2674758849967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333631872 + ... + 333639888.

It is an arithmetic number, because the mean of its divisors is an integer number (33701999265).

Almost surely, 2^{2674758849960} is an apocalyptic number.

2674758849960 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 2674758849960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313855905920).

2674758849960 is an abundant number, since it is smaller than the sum of its proper divisors (5952952961880).

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

2674758849960 is a wasteful number, since it uses less digits than its factorization.

2674758849960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 75.

The spelling of 2674758849960 in words is "two trillion, six hundred seventy-four billion, seven hundred fifty-eight million, eight hundred forty-nine thousand, nine hundred sixty".