2253871400 has 96 divisors (see below), whose sum is σ = 5732311680. Its totient is φ = 817344000.

The previous prime is 2253871397. The next prime is 2253871429. The reversal of 2253871400 is 41783522.

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, 947012 + ... + 949388.

It is an arithmetic number, because the mean of its divisors is an integer number (59711580).

Almost surely, 2^2253871400 is an apocalyptic number.

2253871400 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 2253871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866155840).

2253871400 is an abundant number, since it is smaller than the sum of its proper divisors (3478440280).

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

2253871400 is a wasteful number, since it uses less digits than its factorization.

2253871400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2253871400 is about 47474.9555028754. The cubic root of 2253871400 is about 1311.1218174512.

The spelling of 2253871400 in words is "two billion, two hundred fifty-three million, eight hundred seventy-one thousand, four hundred".