2250561960 has 96 divisors (see below), whose sum is σ = 7632368640. Its totient is φ = 574054272.

The previous prime is 2250561953. The next prime is 2250561967. The reversal of 2250561960 is 691650522.

2250561960 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 561 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2250561953) and next prime (2250561967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2250561967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127624 + ... + 144183.

It is an arithmetic number, because the mean of its divisors is an integer number (79503840).

Almost surely, 2^2250561960 is an apocalyptic number.

2250561960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250561960 is an abundant number, since it is smaller than the sum of its proper divisors (5381806680).

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

2250561960 is a wasteful number, since it uses less digits than its factorization.

2250561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271847 (or 271840 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2250561960 is about 47440.0881112167. The cubic root of 2250561960 is about 1310.4797807518.

The spelling of 2250561960 in words is "two billion, two hundred fifty million, five hundred sixty-one thousand, nine hundred sixty".