2241259200 has 336 divisors, whose sum is σ = 8456676000. Its totient is φ = 576737280.

The previous prime is 2241259193. The next prime is 2241259211. The reversal of 2241259200 is 29521422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251906 + ... + 1253694.

Almost surely, 2^2241259200 is an apocalyptic number.

2241259200 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 2241259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228338000).

2241259200 is an abundant number, since it is smaller than the sum of its proper divisors (6215416800).

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

2241259200 is a wasteful number, since it uses less digits than its factorization.

2241259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2241259200 is about 47341.9391237833. The cubic root of 2241259200 is about 1308.6716523570.

The spelling of 2241259200 in words is "two billion, two hundred forty-one million, two hundred fifty-nine thousand, two hundred".