2442002404400 has 60 divisors (see below), whose sum is σ = 6318211618992. Its totient is φ = 901662424320.

The previous prime is 2442002404367. The next prime is 2442002404469. The reversal of 2442002404400 is 44042002442.

It is a super-2 number, since 2×2442002404400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2442002404400.

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, 234802724 + ... + 234813123.

Almost surely, 2^{2442002404400} is an apocalyptic number.

2442002404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442002404400 is an abundant number, since it is smaller than the sum of its proper divisors (3876209214592).

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

2442002404400 is a wasteful number, since it uses less digits than its factorization.

2442002404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469615878 (or 469615867 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2442002404400 its reverse (44042002442), we get a palindrome (2486044406842).

The spelling of 2442002404400 in words is "two trillion, four hundred forty-two billion, two million, four hundred four thousand, four hundred".