2225734560 has 144 divisors (see below), whose sum is σ = 8680404096. Its totient is φ = 508737024.

The previous prime is 2225734529. The next prime is 2225734561. The reversal of 2225734560 is 654375222.

2225734560 is a `hidden beast` number, since 2 + 2 + 25 + 73 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2225734561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100324 + ... + 120483.

It is an arithmetic number, because the mean of its divisors is an integer number (60280584).

Almost surely, 2^2225734560 is an apocalyptic number.

2225734560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225734560 is an abundant number, since it is smaller than the sum of its proper divisors (6454669536).

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

2225734560 is a wasteful number, since it uses less digits than its factorization.

2225734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220835 (or 220824 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2225734560 is about 47177.6913381738. The cubic root of 2225734560 is about 1305.6430353642.

The spelling of 2225734560 in words is "two billion, two hundred twenty-five million, seven hundred thirty-four thousand, five hundred sixty".