2442664662400 has 48 divisors (see below), whose sum is σ = 6034145056740. Its totient is φ = 977065863680.

The previous prime is 2442664662299. The next prime is 2442664662433. The reversal of 2442664662400 is 42664662442.

It is a super-2 number, since 2×2442664662400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 381663154 + ... + 381669553.

Almost surely, 2^{2442664662400} is an apocalyptic number.

2442664662400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442664662400 is an abundant number, since it is smaller than the sum of its proper divisors (3591480394340).

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

2442664662400 is an equidigital number, since it uses as much as digits as its factorization.

2442664662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763332731 (or 763332714 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 46.

The spelling of 2442664662400 in words is "two trillion, four hundred forty-two billion, six hundred sixty-four million, six hundred sixty-two thousand, four hundred".