2778975360 has 384 divisors, whose sum is σ = 11062022400. Its totient is φ = 629710848.

The previous prime is 2778975263. The next prime is 2778975361. The reversal of 2778975360 is 635798772.

2778975360 is a `hidden beast` number, since 27 + 7 + 89 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2778975297 and 2778975306.

It is not an unprimeable number, because it can be changed into a prime (2778975361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6330021 + ... + 6330459.

It is an arithmetic number, because the mean of its divisors is an integer number (28807350).

Almost surely, 2^2778975360 is an apocalyptic number.

2778975360 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 2778975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531011200).

2778975360 is an abundant number, since it is smaller than the sum of its proper divisors (8283047040).

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

2778975360 is a wasteful number, since it uses less digits than its factorization.

2778975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 2778975360 is about 52715.9877077154. The cubic root of 2778975360 is about 1405.9230958046.

The spelling of 2778975360 in words is "two billion, seven hundred seventy-eight million, nine hundred seventy-five thousand, three hundred sixty".