2251192320 has 288 divisors, whose sum is σ = 8406871200. Its totient is φ = 553844736.

The previous prime is 2251192303. The next prime is 2251192381. The reversal of 2251192320 is 232911522.

It is a happy number.

2251192320 is a `hidden beast` number, since 2 + 251 + 1 + 92 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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, 1197141 + ... + 1199019.

It is an arithmetic number, because the mean of its divisors is an integer number (29190525).

Almost surely, 2^2251192320 is an apocalyptic number.

2251192320 is a gapful number since it is divisible by the number (20) 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 2251192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203435600).

2251192320 is an abundant number, since it is smaller than the sum of its proper divisors (6155678880).

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

2251192320 is a wasteful number, since it uses less digits than its factorization.

2251192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2251192320 is about 47446.7313942699. The cubic root of 2251192320 is about 1310.6021201106.

The spelling of 2251192320 in words is "two billion, two hundred fifty-one million, one hundred ninety-two thousand, three hundred twenty".