2278056960 has 264 divisors, whose sum is σ = 8190227136. Its totient is φ = 607150080.

The previous prime is 2278056953. The next prime is 2278056973. The reversal of 2278056960 is 696508722.

2278056960 is a `hidden beast` number, since 2 + 2 + 7 + 80 + 569 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243245 + ... + 1245075.

Almost surely, 2^2278056960 is an apocalyptic number.

2278056960 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 2278056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095113568).

2278056960 is an abundant number, since it is smaller than the sum of its proper divisors (5912170176).

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

2278056960 is an equidigital number, since it uses as much as digits as its factorization.

2278056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2278056960 is about 47728.9949611345. The cubic root of 2278056960 is about 1315.7948824659.

The spelling of 2278056960 in words is "two billion, two hundred seventy-eight million, fifty-six thousand, nine hundred sixty".