2441888640 has 256 divisors, whose sum is σ = 8698233600. Its totient is φ = 647424000.

The previous prime is 2441888627. The next prime is 2441888677. The reversal of 2441888640 is 468881442.

It is a super-2 number, since 2×2441888640² = 11925640260322099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4336999 + ... + 4337561.

It is an arithmetic number, because the mean of its divisors is an integer number (33977475).

Almost surely, 2^2441888640 is an apocalyptic number.

2441888640 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 2441888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349116800).

2441888640 is an abundant number, since it is smaller than the sum of its proper divisors (6256344960).

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

2441888640 is a wasteful number, since it uses less digits than its factorization.

2441888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2441888640 is about 49415.4696426129. The cubic root of 2441888640 is about 1346.6103604642.

The spelling of 2441888640 in words is "two billion, four hundred forty-one million, eight hundred eighty-eight thousand, six hundred forty".