2400220406200 has 96 divisors (see below), whose sum is σ = 5973787296000. Its totient is φ = 894140899200.

The previous prime is 2400220406183. The next prime is 2400220406209. The reversal of 2400220406200 is 26040220042.

It is a super-2 number, since 2×2400220406200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400220406209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5128656 + ... + 5577055.

It is an arithmetic number, because the mean of its divisors is an integer number (62226951000).

Almost surely, 2^{2400220406200} is an apocalyptic number.

2400220406200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400220406200 is an abundant number, since it is smaller than the sum of its proper divisors (3573566889800).

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

2400220406200 is a wasteful number, since it uses less digits than its factorization.

2400220406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705805 (or 10705796 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2400220406200 its reverse (26040220042), we get a palindrome (2426260626242).

The spelling of 2400220406200 in words is "two trillion, four hundred billion, two hundred twenty million, four hundred six thousand, two hundred".