2779382920 has 32 divisors (see below), whose sum is σ = 6264653400. Its totient is φ = 1109790208.

The previous prime is 2779382861. The next prime is 2779382923. The reversal of 2779382920 is 292839772.

It can be written as a sum of positive squares in 4 ways, for example, as 2367211716 + 412171204 = 48654^2 + 20302^2 .

It is not an unprimeable number, because it can be changed into a prime (2779382923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38299 + ... + 83818.

Almost surely, 2^2779382920 is an apocalyptic number.

2779382920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2779382920 is an abundant number, since it is smaller than the sum of its proper divisors (3485270480).

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

2779382920 is a wasteful number, since it uses less digits than its factorization.

2779382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122697 (or 122693 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 2779382920 is about 52719.8531864420. The cubic root of 2779382920 is about 1405.9918225754.

The spelling of 2779382920 in words is "two billion, seven hundred seventy-nine million, three hundred eighty-two thousand, nine hundred twenty".