2284253440 has 288 divisors, whose sum is σ = 6622560000. Its totient is φ = 738361344.

The previous prime is 2284253429. The next prime is 2284253449. The reversal of 2284253440 is 443524822.

It is a junction number, because it is equal to n+sod(n) for n = 2284253396 and 2284253405.

It is not an unprimeable number, because it can be changed into a prime (2284253449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15330486 + ... + 15330634.

It is an arithmetic number, because the mean of its divisors is an integer number (22995000).

Almost surely, 2^2284253440 is an apocalyptic number.

2284253440 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 2284253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311280000).

2284253440 is an abundant number, since it is smaller than the sum of its proper divisors (4338306560).

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

2284253440 is a wasteful number, since it uses less digits than its factorization.

2284253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 2284253440 is about 47793.8640413181. The cubic root of 2284253440 is about 1316.9868215391.

The spelling of 2284253440 in words is "two billion, two hundred eighty-four million, two hundred fifty-three thousand, four hundred forty".