2442941424 has 240 divisors, whose sum is σ = 8774795520. Its totient is φ = 632188800.

The previous prime is 2442941377. The next prime is 2442941441. The reversal of 2442941424 is 4241492442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9014409 + ... + 9014679.

It is an arithmetic number, because the mean of its divisors is an integer number (36561648).

Almost surely, 2^2442941424 is an apocalyptic number.

2442941424 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 2442941424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387397760).

2442941424 is an abundant number, since it is smaller than the sum of its proper divisors (6331854096).

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

2442941424 is a wasteful number, since it uses less digits than its factorization.

2442941424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 294 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 2442941424 is about 49426.1208674118. The cubic root of 2442941424 is about 1346.8038563413.

The spelling of 2442941424 in words is "two billion, four hundred forty-two million, nine hundred forty-one thousand, four hundred twenty-four".