2440442000 has 80 divisors (see below), whose sum is σ = 5927446512. Its totient is φ = 971801600.

The previous prime is 2440441999. The next prime is 2440442083. The reversal of 2440442000 is 2440442.

It can be written as a sum of positive squares in 8 ways, for example, as 702886144 + 1737555856 = 26512^2 + 41684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463382 + ... + 468618.

Almost surely, 2^2440442000 is an apocalyptic number.

2440442000 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 2440442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963723256).

2440442000 is an abundant number, since it is smaller than the sum of its proper divisors (3487004512).

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

2440442000 is a wasteful number, since it uses less digits than its factorization.

2440442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2440442000 is about 49400.8299525423. The cubic root of 2440442000 is about 1346.3443852950.

Adding to 2440442000 its reverse (2440442), we get a palindrome (2442882442).

2440442000 divided by its reverse (2440442) gives a cube (1000 = 10³).

The spelling of 2440442000 in words is "two billion, four hundred forty million, four hundred forty-two thousand".