2778109920 has 96 divisors (see below), whose sum is σ = 9723399840. Its totient is φ = 740828160.

The previous prime is 2778109883. The next prime is 2778109933. The reversal of 2778109920 is 299018772.

2778109920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 317221 + ... + 325860.

It is an arithmetic number, because the mean of its divisors is an integer number (101285415).

Almost surely, 2^2778109920 is an apocalyptic number.

2778109920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2778109920 is an abundant number, since it is smaller than the sum of its proper divisors (6945289920).

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

2778109920 is a wasteful number, since it uses less digits than its factorization.

2778109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643105 (or 643091 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2778109920 is about 52707.7785530751. The cubic root of 2778109920 is about 1405.7771345232. Note that the first 3 decimals are identical.

The spelling of 2778109920 in words is "two billion, seven hundred seventy-eight million, one hundred nine thousand, nine hundred twenty".