2278364760 has 480 divisors, whose sum is σ = 9057692160. Its totient is φ = 512096256.

The previous prime is 2278364719. The next prime is 2278364771. The reversal of 2278364760 is 674638722.

2278364760 is a `hidden beast` number, since 227 + 8 + 364 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17939817 + ... + 17939943.

It is an arithmetic number, because the mean of its divisors is an integer number (18870192).

Almost surely, 2^2278364760 is an apocalyptic number.

2278364760 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 2278364760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528846080).

2278364760 is an abundant number, since it is smaller than the sum of its proper divisors (6779327400).

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

2278364760 is a wasteful number, since it uses less digits than its factorization.

2278364760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2278364760 is about 47732.2193072981. The cubic root of 2278364760 is about 1315.8541410699.

The spelling of 2278364760 in words is "two billion, two hundred seventy-eight million, three hundred sixty-four thousand, seven hundred sixty".