2241540000 has 480 divisors, whose sum is σ = 9352506240. Its totient is φ = 511488000.

The previous prime is 2241539941. The next prime is 2241540011. The reversal of 2241540000 is 451422.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779704 + ... + 3780296.

It is an arithmetic number, because the mean of its divisors is an integer number (19484388).

Almost surely, 2^2241540000 is an apocalyptic number.

2241540000 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 2241540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676253120).

2241540000 is an abundant number, since it is smaller than the sum of its proper divisors (7110966240).

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

2241540000 is an equidigital number, since it uses as much as digits as its factorization.

2241540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2241540000 is about 47344.9046888892. The cubic root of 2241540000 is about 1308.7263031317.

Adding to 2241540000 its reverse (451422), we get a palindrome (2241991422).

The spelling of 2241540000 in words is "two billion, two hundred forty-one million, five hundred forty thousand".