2442004416 has 112 divisors (see below), whose sum is σ = 7410785280. Its totient is φ = 787726080.

The previous prime is 2442004381. The next prime is 2442004451. The reversal of 2442004416 is 6144002442.

It is a happy number.

2442004416 is a `hidden beast` number, since 2 + 44 + 200 + 4 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (2442004381) and next prime (2442004451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2442004416.

It is a congruent number.

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, 30775 + ... + 76361.

Almost surely, 2^2442004416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705392640).

2442004416 is an abundant number, since it is smaller than the sum of its proper divisors (4968780864).

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

2442004416 is a wasteful number, since it uses less digits than its factorization.

2442004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45639 (or 45623 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2442004416 is about 49416.6410837483. The cubic root of 2442004416 is about 1346.6316421742.

Adding to 2442004416 its reverse (6144002442), we get a palindrome (8586006858).

The spelling of 2442004416 in words is "two billion, four hundred forty-two million, four thousand, four hundred sixteen".