2251955328 has 192 divisors, whose sum is σ = 7200057600. Its totient is φ = 621078528.

The previous prime is 2251955327. The next prime is 2251955339. The reversal of 2251955328 is 8235591522.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2251955328.

It is not an unprimeable number, because it can be changed into a prime (2251955327) 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, 543601 + ... + 547727.

It is an arithmetic number, because the mean of its divisors is an integer number (37500300).

Almost surely, 2^2251955328 is an apocalyptic number.

2251955328 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 2251955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600028800).

2251955328 is an abundant number, since it is smaller than the sum of its proper divisors (4948102272).

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

2251955328 is a wasteful number, since it uses less digits than its factorization.

2251955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4168 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 2251955328 is about 47454.7713934015. The cubic root of 2251955328 is about 1310.7501730537.

The spelling of 2251955328 in words is "two billion, two hundred fifty-one million, nine hundred fifty-five thousand, three hundred twenty-eight".