2674744704 has 288 divisors, whose sum is σ = 8451658800. Its totient is φ = 809453568.

The previous prime is 2674744687. The next prime is 2674744711. The reversal of 2674744704 is 4074474762.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2674744704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45334627 + ... + 45334685.

Almost surely, 2^2674744704 is an apocalyptic number.

2674744704 is a gapful number since it is divisible by the number (24) 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 2674744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225829400).

2674744704 is an abundant number, since it is smaller than the sum of its proper divisors (5776914096).

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

2674744704 is a wasteful number, since it uses less digits than its factorization.

2674744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The square root of 2674744704 is about 51717.9340654671. The cubic root of 2674744704 is about 1388.1213867324.

The spelling of 2674744704 in words is "two billion, six hundred seventy-four million, seven hundred forty-four thousand, seven hundred four".