2442022440 has 256 divisors, whose sum is σ = 8698233600. Its totient is φ = 540672000.

The previous prime is 2442022411. The next prime is 2442022487. The reversal of 2442022440 is 442202442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2442022440.

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 63 ways as a sum of consecutive naturals, for example, 1732456 + ... + 1733864.

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

Almost surely, 2^2442022440 is an apocalyptic number.

2442022440 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 2442022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349116800).

2442022440 is an abundant number, since it is smaller than the sum of its proper divisors (6256211160).

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

2442022440 is a wasteful number, since it uses less digits than its factorization.

2442022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2442022440 is about 49416.8234511285. The cubic root of 2442022440 is about 1346.6349552489.

Adding to 2442022440 its reverse (442202442), we get a palindrome (2884224882).

It can be divided in two parts, 244202 and 2440, that added together give a palindrome (246642).

The spelling of 2442022440 in words is "two billion, four hundred forty-two million, twenty-two thousand, four hundred forty".