2251633000 has 128 divisors (see below), whose sum is σ = 5873212800. Its totient is φ = 802944000.

The previous prime is 2251632997. The next prime is 2251633009. The reversal of 2251633000 is 3361522.

It is not an unprimeable number, because it can be changed into a prime (2251633009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 319515 + ... + 326485.

It is an arithmetic number, because the mean of its divisors is an integer number (45884475).

Almost surely, 2^2251633000 is an apocalyptic number.

2251633000 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 2251633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936606400).

2251633000 is an abundant number, since it is smaller than the sum of its proper divisors (3621579800).

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

2251633000 is a wasteful number, since it uses less digits than its factorization.

2251633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2251633000 is about 47451.3751117921. The cubic root of 2251633000 is about 1310.6876330860.

Adding to 2251633000 its reverse (3361522), we get a palindrome (2254994522).

The spelling of 2251633000 in words is "two billion, two hundred fifty-one million, six hundred thirty-three thousand".