2442235002400 has 72 divisors (see below), whose sum is σ = 6063158964240. Its totient is φ = 960336456960.

The previous prime is 2442235002391. The next prime is 2442235002413. The reversal of 2442235002400 is 42005322442.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25823934 + ... + 25918333.

It is an arithmetic number, because the mean of its divisors is an integer number (84210541170).

Almost surely, 2^{2442235002400} is an apocalyptic number.

2442235002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442235002400 is an abundant number, since it is smaller than the sum of its proper divisors (3620923961840).

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

2442235002400 is a wasteful number, since it uses less digits than its factorization.

2442235002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51742346 (or 51742333 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The spelling of 2442235002400 in words is "two trillion, four hundred forty-two billion, two hundred thirty-five million, two thousand, four hundred".