2251976888 has 48 divisors (see below), whose sum is σ = 4926701520. Its totient is φ = 962212608.

The previous prime is 2251976863. The next prime is 2251976953. The reversal of 2251976888 is 8886791522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123581 + ... + 140627.

It is an arithmetic number, because the mean of its divisors is an integer number (102639615).

Almost surely, 2^2251976888 is an apocalyptic number.

2251976888 is a gapful number since it is divisible by the number (28) 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 2251976888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463350760).

2251976888 is an abundant number, since it is smaller than the sum of its proper divisors (2674724632).

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

2251976888 is a wasteful number, since it uses less digits than its factorization.

2251976888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17404 (or 17393 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 56.

The square root of 2251976888 is about 47454.9985565272. The cubic root of 2251976888 is about 1310.7543560384.

The spelling of 2251976888 in words is "two billion, two hundred fifty-one million, nine hundred seventy-six thousand, eight hundred eighty-eight".