2283248400 has 120 divisors (see below), whose sum is σ = 7484268000. Its totient is φ = 594693120.

The previous prime is 2283248389. The next prime is 2283248413. The reversal of 2283248400 is 48423822.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2283248400² = 10426446512205120000, which contains 22 as substring.

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, 29476 + ... + 73724.

It is an arithmetic number, because the mean of its divisors is an integer number (62368900).

Almost surely, 2^2283248400 is an apocalyptic number.

2283248400 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 2283248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742134000).

2283248400 is an abundant number, since it is smaller than the sum of its proper divisors (5201019600).

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

2283248400 is a wasteful number, since it uses less digits than its factorization.

2283248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44313 (or 44302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2283248400 is about 47783.3485641180. The cubic root of 2283248400 is about 1316.7936411934.

The spelling of 2283248400 in words is "two billion, two hundred eighty-three million, two hundred forty-eight thousand, four hundred".