2253111400 has 48 divisors (see below), whose sum is σ = 5256499500. Its totient is φ = 898145280.

The previous prime is 2253111391. The next prime is 2253111449. The reversal of 2253111400 is 41113522.

It can be written as a sum of positive squares in 6 ways, for example, as 662856516 + 1590254884 = 25746^2 + 39878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39376 + ... + 77824.

Almost surely, 2^2253111400 is an apocalyptic number.

2253111400 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 2253111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628249750).

2253111400 is an abundant number, since it is smaller than the sum of its proper divisors (3003388100).

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

2253111400 is a wasteful number, since it uses less digits than its factorization.

2253111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38758 (or 38749 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2253111400 is about 47466.9506077650. The cubic root of 2253111400 is about 1310.9744318457.

Adding to 2253111400 its reverse (41113522), we get a palindrome (2294224922).

The spelling of 2253111400 in words is "two billion, two hundred fifty-three million, one hundred eleven thousand, four hundred".