2402442240 has 352 divisors, whose sum is σ = 8560062720. Its totient is φ = 570163200.

The previous prime is 2402442209. The next prime is 2402442269. The reversal of 2402442240 is 422442042.

It is a tau number, because it is divible by the number of its divisors (352).

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 2402442240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9968520 + ... + 9968760.

It is an arithmetic number, because the mean of its divisors is an integer number (24318360).

Almost surely, 2^2402442240 is an apocalyptic number.

2402442240 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 2402442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280031360).

2402442240 is an abundant number, since it is smaller than the sum of its proper divisors (6157620480).

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

2402442240 is a wasteful number, since it uses less digits than its factorization.

2402442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

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

The square root of 2402442240 is about 49014.7145253341. The cubic root of 2402442240 is about 1339.3198895193.

Adding to 2402442240 its reverse (422442042), we get a palindrome (2824884282).

The spelling of 2402442240 in words is "two billion, four hundred two million, four hundred forty-two thousand, two hundred forty".