2779972128 has 36 divisors (see below), whose sum is σ = 7905546558. Its totient is φ = 926657280.

The previous prime is 2779972067. The next prime is 2779972133. The reversal of 2779972128 is 8212799772.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2673717264 + 106254864 = 51708^2 + 10308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4826053 + ... + 4826628.

Almost surely, 2^2779972128 is an apocalyptic number.

It is an amenable number.

2779972128 is an abundant number, since it is smaller than the sum of its proper divisors (5125574430).

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

2779972128 is a wasteful number, since it uses less digits than its factorization.

2779972128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652697 (or 9652686 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 2779972128 is about 52725.4409938883. The cubic root of 2779972128 is about 1406.0911687397.

The spelling of 2779972128 in words is "two billion, seven hundred seventy-nine million, nine hundred seventy-two thousand, one hundred twenty-eight".