2241509760 has 768 divisors, whose sum is σ = 9623577600. Its totient is φ = 487710720.

The previous prime is 2241509747. The next prime is 2241509771. The reversal of 2241509760 is 679051422.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31570525 + ... + 31570595.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^2241509760 is an apocalyptic number.

2241509760 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 2241509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2241509760 is an abundant number, since it is smaller than the sum of its proper divisors (7382067840).

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

2241509760 is an equidigital number, since it uses as much as digits as its factorization.

2241509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2241509760 is about 47344.5853292644. The cubic root of 2241509760 is about 1308.7204178829.

The spelling of 2241509760 in words is "two billion, two hundred forty-one million, five hundred nine thousand, seven hundred sixty".