2444613640 has 128 divisors (see below), whose sum is σ = 6464367360. Its totient is φ = 814593024.

The previous prime is 2444613631. The next prime is 2444613659. The reversal of 2444613640 is 463164442.

It is a super-2 number, since 2×2444613640² = 11952271697748099200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2444613596 and 2444613605.

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 31 ways as a sum of consecutive naturals, for example, 3334714 + ... + 3335446.

It is an arithmetic number, because the mean of its divisors is an integer number (50502870).

Almost surely, 2^2444613640 is an apocalyptic number.

2444613640 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 2444613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232183680).

2444613640 is an abundant number, since it is smaller than the sum of its proper divisors (4019753720).

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

2444613640 is a wasteful number, since it uses less digits than its factorization.

2444613640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2444613640 is about 49443.0342920011. The cubic root of 2444613640 is about 1347.1110861502. Note that the first 3 decimals are identical.

The spelling of 2444613640 in words is "two billion, four hundred forty-four million, six hundred thirteen thousand, six hundred forty".