2268848400 has 480 divisors, whose sum is σ = 9092751360. Its totient is φ = 470845440.

The previous prime is 2268848389. The next prime is 2268848401. The reversal of 2268848400 is 48488622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2268848401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8626669 + ... + 8626931.

It is an arithmetic number, because the mean of its divisors is an integer number (18943232).

Almost surely, 2^2268848400 is an apocalyptic number.

2268848400 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 2268848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546375680).

2268848400 is an abundant number, since it is smaller than the sum of its proper divisors (6823902960).

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

2268848400 is a wasteful number, since it uses less digits than its factorization.

2268848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2268848400 is about 47632.4301290623. The cubic root of 2268848400 is about 1314.0195479996.

The spelling of 2268848400 in words is "two billion, two hundred sixty-eight million, eight hundred forty-eight thousand, four hundred".