2241182720 has 88 divisors (see below), whose sum is σ = 6144340704. Its totient is φ = 768393216.

The previous prime is 2241182719. The next prime is 2241182729. The reversal of 2241182720 is 272811422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241182729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4574 + ... + 67106.

Almost surely, 2^2241182720 is an apocalyptic number.

2241182720 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 2241182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072170352).

2241182720 is an abundant number, since it is smaller than the sum of its proper divisors (3903157984).

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

2241182720 is an equidigital number, since it uses as much as digits as its factorization.

2241182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62565 (or 62547 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2241182720 is about 47341.1313764257. The cubic root of 2241182720 is about 1308.6567666257.

The spelling of 2241182720 in words is "two billion, two hundred forty-one million, one hundred eighty-two thousand, seven hundred twenty".