2285627520 has 256 divisors, whose sum is σ = 8206479360. Its totient is φ = 536064000.

The previous prime is 2285627503. The next prime is 2285627563. The reversal of 2285627520 is 257265822.

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, 652975 + ... + 656465.

It is an arithmetic number, because the mean of its divisors is an integer number (32056560).

Almost surely, 2^2285627520 is an apocalyptic number.

2285627520 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 2285627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103239680).

2285627520 is an abundant number, since it is smaller than the sum of its proper divisors (5920851840).

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

2285627520 is a wasteful number, since it uses less digits than its factorization.

2285627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2285627520 is about 47808.2369472040. The cubic root of 2285627520 is about 1317.2508439809.

The spelling of 2285627520 in words is "two billion, two hundred eighty-five million, six hundred twenty-seven thousand, five hundred twenty".