2442333440 has 72 divisors (see below), whose sum is σ = 5878527648. Its totient is φ = 972195840.

The previous prime is 2442333409. The next prime is 2442333463. The reversal of 2442333440 is 443332442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265559 + ... + 274601.

Almost surely, 2^2442333440 is an apocalyptic number.

2442333440 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 2442333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939263824).

2442333440 is an abundant number, since it is smaller than the sum of its proper divisors (3436194208).

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

2442333440 is an equidigital number, since it uses as much as digits as its factorization.

2442333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9275 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 2442333440 is about 49419.9700526012. The cubic root of 2442333440 is about 1346.6921190279.

Adding to 2442333440 its reverse (443332442), we get a palindrome (2885665882).

The spelling of 2442333440 in words is "two billion, four hundred forty-two million, three hundred thirty-three thousand, four hundred forty".