2241837864 has 128 divisors (see below), whose sum is σ = 7151692800. Its totient is φ = 637398720.

The previous prime is 2241837863. The next prime is 2241837877. The reversal of 2241837864 is 4687381422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2241837863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315519 + ... + 322545.

It is an arithmetic number, because the mean of its divisors is an integer number (55872600).

Almost surely, 2^2241837864 is an apocalyptic number.

2241837864 is a gapful number since it is divisible by the number (24) 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 2241837864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575846400).

2241837864 is an abundant number, since it is smaller than the sum of its proper divisors (4909854936).

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

2241837864 is a wasteful number, since it uses less digits than its factorization.

2241837864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7250 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2241837864 is about 47348.0502660880. The cubic root of 2241837864 is about 1308.7842700035.

The spelling of 2241837864 in words is "two billion, two hundred forty-one million, eight hundred thirty-seven thousand, eight hundred sixty-four".