2442520800 has 108 divisors (see below), whose sum is σ = 8612964360. Its totient is φ = 651336960.

The previous prime is 2442520799. The next prime is 2442520831. The reversal of 2442520800 is 80252442.

It is a happy number.

2442520800 is a `hidden beast` number, since 24 + 42 + 520 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 162420 + ... + 176819.

It is an arithmetic number, because the mean of its divisors is an integer number (79749670).

Almost surely, 2^2442520800 is an apocalyptic number.

2442520800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442520800 is an abundant number, since it is smaller than the sum of its proper divisors (6170443560).

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

2442520800 is a wasteful number, since it uses less digits than its factorization.

2442520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339265 (or 339249 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2442520800 is about 49421.8656062274. The cubic root of 2442520800 is about 1346.7265546459.

The spelling of 2442520800 in words is "two billion, four hundred forty-two million, five hundred twenty thousand, eight hundred".