2400422040200 has 96 divisors (see below), whose sum is σ = 5776339219200. Its totient is φ = 926592226560.

The previous prime is 2400422040199. The next prime is 2400422040253. The reversal of 2400422040200 is 20402240042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11514089 + ... + 11720711.

It is an arithmetic number, because the mean of its divisors is an integer number (60170200200).

Almost surely, 2^{2400422040200} is an apocalyptic number.

2400422040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400422040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888169609600).

2400422040200 is an abundant number, since it is smaller than the sum of its proper divisors (3375917179000).

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

2400422040200 is a wasteful number, since it uses less digits than its factorization.

2400422040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208671 (or 208662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2400422040200 its reverse (20402240042), we get a palindrome (2420824280242).

The spelling of 2400422040200 in words is "two trillion, four hundred billion, four hundred twenty-two million, forty thousand, two hundred".