2225660272 has 80 divisors (see below), whose sum is σ = 4797192960. Its totient is φ = 991872000.

The previous prime is 2225660257. The next prime is 2225660273. The reversal of 2225660272 is 2720665222.

It is a super-2 number, since 2×2225660272² = 9907127292718227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225660273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205304 + ... + 2206312.

It is an arithmetic number, because the mean of its divisors is an integer number (59964912).

Almost surely, 2^2225660272 is an apocalyptic number.

2225660272 is a gapful number since it is divisible by the number (22) 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 2225660272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398596480).

2225660272 is an abundant number, since it is smaller than the sum of its proper divisors (2571532688).

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

2225660272 is a wasteful number, since it uses less digits than its factorization.

2225660272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2225660272 is about 47176.9040103312. The cubic root of 2225660272 is about 1305.6285091203.

It can be divided in two parts, 22256 and 60272, that added together give a palindrome (82528).

The spelling of 2225660272 in words is "two billion, two hundred twenty-five million, six hundred sixty thousand, two hundred seventy-two".