2251588248 has 96 divisors (see below), whose sum is σ = 7505316000. Its totient is φ = 593823744.

The previous prime is 2251588247. The next prime is 2251588271. The reversal of 2251588248 is 8428851522.

2251588248 is a `hidden beast` number, since 2 + 25 + 1 + 588 + 2 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251588247) 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, 165273 + ... + 178376.

It is an arithmetic number, because the mean of its divisors is an integer number (78180375).

Almost surely, 2^2251588248 is an apocalyptic number.

2251588248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2251588248 is an abundant number, since it is smaller than the sum of its proper divisors (5253727752).

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

2251588248 is a wasteful number, since it uses less digits than its factorization.

2251588248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343681 (or 343674 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 2251588248 is about 47450.9035530410. The cubic root of 2251588248 is about 1310.6789495688.

The spelling of 2251588248 in words is "two billion, two hundred fifty-one million, five hundred eighty-eight thousand, two hundred forty-eight".