2287368720 has 560 divisors, whose sum is σ = 9836370432. Its totient is φ = 481489920.

The previous prime is 2287368691. The next prime is 2287368739. The reversal of 2287368720 is 278637822.

2287368720 is a `hidden beast` number, since 2 + 287 + 368 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2287368720² = 10464111322468876800, which contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 5306905 + ... + 5307335.

Almost surely, 2^2287368720 is an apocalyptic number.

2287368720 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 2287368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918185216).

2287368720 is an abundant number, since it is smaller than the sum of its proper divisors (7549001712).

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

2287368720 is a wasteful number, since it uses less digits than its factorization.

2287368720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2287368720 is about 47826.4437314756. The cubic root of 2287368720 is about 1317.5852546948.

The spelling of 2287368720 in words is "two billion, two hundred eighty-seven million, three hundred sixty-eight thousand, seven hundred twenty".