2253632500 has 90 divisors (see below), whose sum is σ = 5733166362. Its totient is φ = 772632000.

The previous prime is 2253632497. The next prime is 2253632501. The reversal of 2253632500 is 52363522.

It can be written as a sum of positive squares in 5 ways, for example, as 407555344 + 1846077156 = 20188^2 + 42966^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253632501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 113302 + ... + 131698.

Almost surely, 2^2253632500 is an apocalyptic number.

2253632500 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 2253632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866583181).

2253632500 is an abundant number, since it is smaller than the sum of its proper divisors (3479533862).

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

2253632500 is a wasteful number, since it uses less digits than its factorization.

2253632500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18435 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2253632500 is about 47472.4393727561. The cubic root of 2253632500 is about 1311.0754915206.

The spelling of 2253632500 in words is "two billion, two hundred fifty-three million, six hundred thirty-two thousand, five hundred".