2253411200 has 192 divisors, whose sum is σ = 6153757920. Its totient is φ = 811008000.

The previous prime is 2253411197. The next prime is 2253411221. The reversal of 2253411200 is 21143522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250300 + ... + 1252100.

Almost surely, 2^2253411200 is an apocalyptic number.

2253411200 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 2253411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076878960).

2253411200 is an abundant number, since it is smaller than the sum of its proper divisors (3900346720).

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

2253411200 is a wasteful number, since it uses less digits than its factorization.

2253411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2253411200 is about 47470.1084894484. The cubic root of 2253411200 is about 1311.0325755463.

Adding to 2253411200 its reverse (21143522), we get a palindrome (2274554722).

The spelling of 2253411200 in words is "two billion, two hundred fifty-three million, four hundred eleven thousand, two hundred".