2250806688 has 144 divisors (see below), whose sum is σ = 7040307456. Its totient is φ = 677767680.

The previous prime is 2250806687. The next prime is 2250806729. The reversal of 2250806688 is 8866080522.

2250806688 is a `hidden beast` number, since 2 + 2 + 508 + 0 + 66 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2250806688² = 10132261493491058688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2250806687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169573 + ... + 182363.

It is an arithmetic number, because the mean of its divisors is an integer number (48891024).

Almost surely, 2^2250806688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520153728).

2250806688 is an abundant number, since it is smaller than the sum of its proper divisors (4789500768).

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

2250806688 is a wasteful number, since it uses less digits than its factorization.

2250806688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12867 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2250806688 is about 47442.6673786371. The cubic root of 2250806688 is about 1310.5272799213.

The spelling of 2250806688 in words is "two billion, two hundred fifty million, eight hundred six thousand, six hundred eighty-eight".