2674361664 has 448 divisors, whose sum is σ = 9217152000. Its totient is φ = 752910336.

The previous prime is 2674361659. The next prime is 2674361671. The reversal of 2674361664 is 4661634762.

It is a happy number.

2674361664 is a `hidden beast` number, since 26 + 7 + 4 + 3 + 616 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17948662 + ... + 17948810.

It is an arithmetic number, because the mean of its divisors is an integer number (20574000).

Almost surely, 2^2674361664 is an apocalyptic number.

2674361664 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 2674361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576000).

2674361664 is an abundant number, since it is smaller than the sum of its proper divisors (6542790336).

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

2674361664 is a wasteful number, since it uses less digits than its factorization.

2674361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2674361664 is about 51714.2307687159. The cubic root of 2674361664 is about 1388.0551210437.

The spelling of 2674361664 in words is "two billion, six hundred seventy-four million, three hundred sixty-one thousand, six hundred sixty-four".