2287042560 has 512 divisors, whose sum is σ = 9059558400. Its totient is φ = 542638080.

The previous prime is 2287042553. The next prime is 2287042579. The reversal of 2287042560 is 652407822.

2287042560 is a `hidden beast` number, since 2 + 28 + 70 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 48660457 + ... + 48660503.

It is an arithmetic number, because the mean of its divisors is an integer number (17694450).

Almost surely, 2^2287042560 is an apocalyptic number.

2287042560 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 2287042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529779200).

2287042560 is an abundant number, since it is smaller than the sum of its proper divisors (6772515840).

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

2287042560 is an equidigital number, since it uses as much as digits as its factorization.

2287042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2287042560 is about 47823.0337808048. The cubic root of 2287042560 is about 1317.5226261046.

The spelling of 2287042560 in words is "two billion, two hundred eighty-seven million, forty-two thousand, five hundred sixty".