2670791682 has 64 divisors (see below), whose sum is σ = 5832134784. Its totient is φ = 810470400.

The previous prime is 2670791657. The next prime is 2670791687. The reversal of 2670791682 is 2861970762.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2670791687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2733178 + ... + 2734154.

It is an arithmetic number, because the mean of its divisors is an integer number (91127106).

Almost surely, 2^2670791682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670791682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916067392).

2670791682 is an abundant number, since it is smaller than the sum of its proper divisors (3161343102).

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

2670791682 is a wasteful number, since it uses less digits than its factorization.

2670791682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2670791682 is about 51679.7028048730. The cubic root of 2670791682 is about 1387.4372118004.

The spelling of 2670791682 in words is "two billion, six hundred seventy million, seven hundred ninety-one thousand, six hundred eighty-two".