2778312960 has 360 divisors, whose sum is σ = 10067076096. Its totient is φ = 731566080.

The previous prime is 2778312937. The next prime is 2778312967. The reversal of 2778312960 is 692138772.

2778312960 is a `hidden beast` number, since 277 + 8 + 312 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2778312967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13167255 + ... + 13167465.

Almost surely, 2^2778312960 is an apocalyptic number.

2778312960 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 2778312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033538048).

2778312960 is an abundant number, since it is smaller than the sum of its proper divisors (7288763136).

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

2778312960 is a wasteful number, since it uses less digits than its factorization.

2778312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2778312960 is about 52709.7046093032. The cubic root of 2778312960 is about 1405.8113810727.

The spelling of 2778312960 in words is "two billion, seven hundred seventy-eight million, three hundred twelve thousand, nine hundred sixty".