2253205260 has 72 divisors (see below), whose sum is σ = 6852155856. Its totient is φ = 599322240.

The previous prime is 2253205259. The next prime is 2253205261. The reversal of 2253205260 is 625023522.

2253205260 is a `hidden beast` number, since 22 + 532 + 0 + 52 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2253205259) and next prime (2253205261).

It is not an unprimeable number, because it can be changed into a prime (2253205261) 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, 55695 + ... + 87225.

Almost surely, 2^2253205260 is an apocalyptic number.

2253205260 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 2253205260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426077928).

2253205260 is an abundant number, since it is smaller than the sum of its proper divisors (4598950596).

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

2253205260 is a wasteful number, since it uses less digits than its factorization.

2253205260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31943 (or 31938 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2253205260 is about 47467.9392853745. The cubic root of 2253205260 is about 1310.9926357617.

Adding to 2253205260 its reverse (625023522), we get a palindrome (2878228782).

The spelling of 2253205260 in words is "two billion, two hundred fifty-three million, two hundred five thousand, two hundred sixty".