2253828400 has 60 divisors (see below), whose sum is σ = 5422915312. Its totient is φ = 900184320.

The previous prime is 2253828391. The next prime is 2253828403. The reversal of 2253828400 is 48283522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2253828403) 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 11 ways as a sum of consecutive naturals, for example, 289357 + ... + 297043.

Almost surely, 2^2253828400 is an apocalyptic number.

2253828400 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 2253828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711457656).

2253828400 is an abundant number, since it is smaller than the sum of its proper divisors (3169086912).

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

2253828400 is a wasteful number, since it uses less digits than its factorization.

2253828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 2253828400 is about 47474.5026303594. The cubic root of 2253828400 is about 1311.1134794131.

The spelling of 2253828400 in words is "two billion, two hundred fifty-three million, eight hundred twenty-eight thousand, four hundred".