2225512000 has 112 divisors (see below), whose sum is σ = 5536582272. Its totient is φ = 886156800.

The previous prime is 2225511991. The next prime is 2225512013. The reversal of 2225512000 is 2155222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263509 + ... + 2264491.

Almost surely, 2^2225512000 is an apocalyptic number.

2225512000 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 2225512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768291136).

2225512000 is an abundant number, since it is smaller than the sum of its proper divisors (3311070272).

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

2225512000 is an equidigital number, since it uses as much as digits as its factorization.

2225512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2225512000 is about 47175.3325372487. The cubic root of 2225512000 is about 1305.5995151102.

Adding to 2225512000 its reverse (2155222), we get a palindrome (2227667222).

The spelling of 2225512000 in words is "two billion, two hundred twenty-five million, five hundred twelve thousand".