2401618944 has 88 divisors (see below), whose sum is σ = 6479000640. Its totient is φ = 790810624.

The previous prime is 2401618937. The next prime is 2401618979. The reversal of 2401618944 is 4498161042.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250267 + ... + 259685.

Almost surely, 2^2401618944 is an apocalyptic number.

2401618944 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 2401618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239500320).

2401618944 is an abundant number, since it is smaller than the sum of its proper divisors (4077381696).

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

2401618944 is an equidigital number, since it uses as much as digits as its factorization.

2401618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2401618944 is about 49006.3153481263. The cubic root of 2401618944 is about 1339.1668809585.

Adding to 2401618944 its reverse (4498161042), we get a palindrome (6899779986).

The spelling of 2401618944 in words is "two billion, four hundred one million, six hundred eighteen thousand, nine hundred forty-four".