2301022442400 has 864 divisors, whose sum is σ = 8542442248704. Its totient is φ = 537022464000.

The previous prime is 2301022442399. The next prime is 2301022442401. The reversal of 2301022442400 is 42442201032.

It is an interprime number because it is at equal distance from previous prime (2301022442399) and next prime (2301022442401).

It is a super-2 number, since 2×2301022442400² (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 not an unprimeable number, because it can be changed into a prime (2301022442401) 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 143 ways as a sum of consecutive naturals, for example, 2097558652 + ... + 2097559748.

It is an arithmetic number, because the mean of its divisors is an integer number (9887085936).

Almost surely, 2^{2301022442400} is an apocalyptic number.

2301022442400 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 2301022442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271221124352).

2301022442400 is an abundant number, since it is smaller than the sum of its proper divisors (6241419806304).

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

2301022442400 is a wasteful number, since it uses less digits than its factorization.

2301022442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2301022442400 its reverse (42442201032), we get a palindrome (2343464643432).

The spelling of 2301022442400 in words is "two trillion, three hundred one billion, twenty-two million, four hundred forty-two thousand, four hundred".