2674560960 has 336 divisors, whose sum is σ = 9833091840. Its totient is φ = 665763840.

The previous prime is 2674560949. The next prime is 2674561009. The reversal of 2674560960 is 690654762.

2674560960 is a `hidden beast` number, since 26 + 7 + 4 + 560 + 9 + 60 = 666.

It is a super-2 number, since 2×2674560960² = 14306552657512243200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2588604 + ... + 2589636.

Almost surely, 2^2674560960 is an apocalyptic number.

2674560960 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 2674560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916545920).

2674560960 is an abundant number, since it is smaller than the sum of its proper divisors (7158530880).

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

2674560960 is a wasteful number, since it uses less digits than its factorization.

2674560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2674560960 is about 51716.1576298936. The cubic root of 2674560960 is about 1388.0895999209.

The spelling of 2674560960 in words is "two billion, six hundred seventy-four million, five hundred sixty thousand, nine hundred sixty".