2278255680 has 224 divisors, whose sum is σ = 8510503680. Its totient is φ = 571760640.

The previous prime is 2278255643. The next prime is 2278255709. The reversal of 2278255680 is 865528722.

2278255680 is a `hidden beast` number, since 2 + 2 + 7 + 82 + 5 + 568 + 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 31 ways as a sum of consecutive naturals, for example, 139125 + ... + 154635.

It is an arithmetic number, because the mean of its divisors is an integer number (37993320).

Almost surely, 2^2278255680 is an apocalyptic number.

2278255680 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 2278255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255251840).

2278255680 is an abundant number, since it is smaller than the sum of its proper divisors (6232248000).

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

2278255680 is a wasteful number, since it uses less digits than its factorization.

2278255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2278255680 is about 47731.0766691890. The cubic root of 2278255680 is about 1315.8331412629.

The spelling of 2278255680 in words is "two billion, two hundred seventy-eight million, two hundred fifty-five thousand, six hundred eighty".