2251382688 has 120 divisors (see below), whose sum is σ = 6835086720. Its totient is φ = 726226560.

The previous prime is 2251382687. The next prime is 2251382701. The reversal of 2251382688 is 8862831522.

It is a super-2 number, since 2×2251382688² = 10137448015652210688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2251382687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66343 + ... + 94361.

It is an arithmetic number, because the mean of its divisors is an integer number (56959056).

Almost surely, 2^2251382688 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 2251382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417543360).

2251382688 is an abundant number, since it is smaller than the sum of its proper divisors (4583704032).

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

2251382688 is a wasteful number, since it uses less digits than its factorization.

2251382688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28072 (or 28055 counting only the distinct ones).

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

The square root of 2251382688 is about 47448.7374753006. The cubic root of 2251382688 is about 1310.6390619673.

The spelling of 2251382688 in words is "two billion, two hundred fifty-one million, three hundred eighty-two thousand, six hundred eighty-eight".