2251129320 has 320 divisors, whose sum is σ = 8364565440. Its totient is φ = 538444800.

The previous prime is 2251129319. The next prime is 2251129339. The reversal of 2251129320 is 239211522.

It is a happy number.

2251129320 is a `hidden beast` number, since 225 + 112 + 9 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2957740 + ... + 2958500.

It is an arithmetic number, because the mean of its divisors is an integer number (26139267).

Almost surely, 2^2251129320 is an apocalyptic number.

2251129320 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 2251129320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182282720).

2251129320 is an abundant number, since it is smaller than the sum of its proper divisors (6113436120).

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

2251129320 is a wasteful number, since it uses less digits than its factorization.

2251129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 865 counting only the distinct ones).

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

The square root of 2251129320 is about 47446.0674872007. The cubic root of 2251129320 is about 1310.5898941888.

It can be divided in two parts, 225112 and 9320, that added together give a palindrome (234432).

The spelling of 2251129320 in words is "two billion, two hundred fifty-one million, one hundred twenty-nine thousand, three hundred twenty".