2679635840 has 128 divisors (see below), whose sum is σ = 7353400320. Its totient is φ = 914688000.

The previous prime is 2679635821. The next prime is 2679635857. The reversal of 2679635840 is 485369762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123289 + ... + 1125671.

It is an arithmetic number, because the mean of its divisors is an integer number (57448440).

Almost surely, 2^2679635840 is an apocalyptic number.

2679635840 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 2679635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676700160).

2679635840 is an abundant number, since it is smaller than the sum of its proper divisors (4673764480).

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

2679635840 is a wasteful number, since it uses less digits than its factorization.

2679635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The square root of 2679635840 is about 51765.1991206448. The cubic root of 2679635840 is about 1388.9669946855.

The spelling of 2679635840 in words is "two billion, six hundred seventy-nine million, six hundred thirty-five thousand, eight hundred forty".