2676779920 has 40 divisors (see below), whose sum is σ = 6227496504. Its totient is φ = 1070026752.

The previous prime is 2676779899. The next prime is 2676779921. The reversal of 2676779920 is 299776762.

2676779920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 315986176 + 2360793744 = 17776^2 + 48588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2676779921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125902 + ... + 145618.

Almost surely, 2^2676779920 is an apocalyptic number.

2676779920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2676779920 is an abundant number, since it is smaller than the sum of its proper divisors (3550716584).

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

2676779920 is a wasteful number, since it uses less digits than its factorization.

2676779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21427 (or 21421 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 55.

The square root of 2676779920 is about 51737.6064386438. The cubic root of 2676779920 is about 1388.4733718031.

The spelling of 2676779920 in words is "two billion, six hundred seventy-six million, seven hundred seventy-nine thousand, nine hundred twenty".