2442002442 has 64 divisors (see below), whose sum is σ = 5526741888. Its totient is φ = 712800000.

The previous prime is 2442002441. The next prime is 2442002443.

2442002442 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2442002441) and next prime (2442002443).

It is not an unprimeable number, because it can be changed into a prime (2442002441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241692 + ... + 251592.

It is an arithmetic number, because the mean of its divisors is an integer number (86355342).

Almost surely, 2^2442002442 is an apocalyptic number.

2442002442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442002442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763370944).

2442002442 is an abundant number, since it is smaller than the sum of its proper divisors (3084739446).

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

2442002442 is a wasteful number, since it uses less digits than its factorization.

2442002442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055.

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

The square root of 2442002442 is about 49416.6211107154. The cubic root of 2442002442 is about 1346.6312793231.

It can be divided in two parts, 244200 and 2442, that multiplied together give a square (596336400 = 24420²).

The spelling of 2442002442 in words is "two billion, four hundred forty-two million, two thousand, four hundred forty-two".