2778327360 has 84 divisors (see below), whose sum is σ = 9556298388. Its totient is φ = 740886528.

The previous prime is 2778327359. The next prime is 2778327361. The reversal of 2778327360 is 637238772.

It is an interprime number because it is at equal distance from previous prime (2778327359) and next prime (2778327361).

It can be written as a sum of positive squares in 2 ways, for example, as 374190336 + 2404137024 = 19344^2 + 49032^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778327361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479469 + ... + 485228.

It is an arithmetic number, because the mean of its divisors is an integer number (113765457).

Almost surely, 2^2778327360 is an apocalyptic number.

2778327360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2778327360 is an abundant number, since it is smaller than the sum of its proper divisors (6777971028).

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

2778327360 is a wasteful number, since it uses less digits than its factorization.

2778327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964720 (or 964707 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2778327360 is about 52709.8412063630. The cubic root of 2778327360 is about 1405.8138098426.

The spelling of 2778327360 in words is "two billion, seven hundred seventy-eight million, three hundred twenty-seven thousand, three hundred sixty".