2422013210400 has 576 divisors, whose sum is σ = 9315963740160. Its totient is φ = 534856089600.

The previous prime is 2422013210317. The next prime is 2422013210429. The reversal of 2422013210400 is 40123102242.

It is a super-2 number, since 2×2422013210400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343203672 + ... + 343210728.

It is an arithmetic number, because the mean of its divisors is an integer number (16173548160).

Almost surely, 2^{2422013210400} is an apocalyptic number.

2422013210400 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 2422013210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657981870080).

2422013210400 is an abundant number, since it is smaller than the sum of its proper divisors (6893950529760).

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

2422013210400 is a wasteful number, since it uses less digits than its factorization.

2422013210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2422013210400 its reverse (40123102242), we get a palindrome (2462136312642).

The spelling of 2422013210400 in words is "two trillion, four hundred twenty-two billion, thirteen million, two hundred ten thousand, four hundred".