2400221143320 has 1024 divisors, whose sum is σ = 9811172044800. Its totient is φ = 453621841920.

The previous prime is 2400221143303. The next prime is 2400221143321. The reversal of 2400221143320 is 233411220042.

It is a happy number.

It is a super-2 number, since 2×2400221143320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400221143321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2583660616 + ... + 2583661544.

It is an arithmetic number, because the mean of its divisors is an integer number (9581222700).

Almost surely, 2^{2400221143320} is an apocalyptic number.

2400221143320 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 2400221143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905586022400).

2400221143320 is an abundant number, since it is smaller than the sum of its proper divisors (7410950901480).

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

2400221143320 is a wasteful number, since it uses less digits than its factorization.

2400221143320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2400221143320 its reverse (233411220042), we get a palindrome (2633632363362).

The spelling of 2400221143320 in words is "two trillion, four hundred billion, two hundred twenty-one million, one hundred forty-three thousand, three hundred twenty".