2251617160 has 64 divisors (see below), whose sum is σ = 5466242880. Its totient is φ = 829781760.

The previous prime is 2251617149. The next prime is 2251617161. The reversal of 2251617160 is 617161522.

It is not an unprimeable number, because it can be changed into a prime (2251617161) 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, 288915 + ... + 296605.

It is an arithmetic number, because the mean of its divisors is an integer number (85410045).

Almost surely, 2^2251617160 is an apocalyptic number.

2251617160 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 2251617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733121440).

2251617160 is an abundant number, since it is smaller than the sum of its proper divisors (3214625720).

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

2251617160 is a wasteful number, since it uses less digits than its factorization.

2251617160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 2251617160 is about 47451.2082037960. The cubic root of 2251617160 is about 1310.6845595625.

Adding to 2251617160 its reverse (617161522), we get a palindrome (2868778682).

The spelling of 2251617160 in words is "two billion, two hundred fifty-one million, six hundred seventeen thousand, one hundred sixty".