2681065674 has 96 divisors (see below), whose sum is σ = 6807715200. Its totient is φ = 762245568.

The previous prime is 2681065649. The next prime is 2681065753. The reversal of 2681065674 is 4765601862.

2681065674 is a `hidden beast` number, since 2 + 6 + 81 + 0 + 6 + 567 + 4 = 666.

It is a super-2 number, since 2×2681065674² = 14376226296602148552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400542 + ... + 1402454.

It is an arithmetic number, because the mean of its divisors is an integer number (70913700).

Almost surely, 2^2681065674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681065674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403857600).

2681065674 is an abundant number, since it is smaller than the sum of its proper divisors (4126649526).

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

2681065674 is a wasteful number, since it uses less digits than its factorization.

2681065674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2681065674 is about 51779.0080438009. The cubic root of 2681065674 is about 1389.2139982860.

The spelling of 2681065674 in words is "two billion, six hundred eighty-one million, sixty-five thousand, six hundred seventy-four".