2251106560 has 72 divisors (see below), whose sum is σ = 5424906816. Its totient is φ = 894965760.

The previous prime is 2251106551. The next prime is 2251106569. The reversal of 2251106560 is 656011522.

It is an interprime number because it is at equal distance from previous prime (2251106551) and next prime (2251106569).

It is not an unprimeable number, because it can be changed into a prime (2251106569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208495 + ... + 219025.

It is an arithmetic number, because the mean of its divisors is an integer number (75345928).

Almost surely, 2^2251106560 is an apocalyptic number.

2251106560 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 2251106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712453408).

2251106560 is an abundant number, since it is smaller than the sum of its proper divisors (3173800256).

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

2251106560 is a wasteful number, since it uses less digits than its factorization.

2251106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2251106560 is about 47445.8276353148. The cubic root of 2251106560 is about 1310.5854772759.

It can be divided in two parts, 2251 and 106560, that added together give a triangular number (108811 = T₄₆₆).

The spelling of 2251106560 in words is "two billion, two hundred fifty-one million, one hundred six thousand, five hundred sixty".