2442072384 has 84 divisors (see below), whose sum is σ = 7026226740. Its totient is φ = 810946560.

The previous prime is 2442072371. The next prime is 2442072401. The reversal of 2442072384 is 4832702442.

It can be written as a sum of positive squares in 2 ways, for example, as 757790784 + 1684281600 = 27528^2 + 41040^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147064 + ... + 162824.

Almost surely, 2^2442072384 is an apocalyptic number.

2442072384 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 2442072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513113370).

2442072384 is an abundant number, since it is smaller than the sum of its proper divisors (4584154356).

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

2442072384 is a wasteful number, since it uses less digits than its factorization.

2442072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048 (or 16035 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2442072384 is about 49417.3287825232. The cubic root of 2442072384 is about 1346.6441356010.

The spelling of 2442072384 in words is "two billion, four hundred forty-two million, seventy-two thousand, three hundred eighty-four".