2400212522400 has 1152 divisors, whose sum is σ = 10136951193600. Its totient is φ = 478711296000.

The previous prime is 2400212522261. The next prime is 2400212522401. The reversal of 2400212522400 is 42252120042.

It is a super-2 number, since 2×2400212522400² (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 (2400212522401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 727555951 + ... + 727559249.

It is an arithmetic number, because the mean of its divisors is an integer number (8799436800).

Almost surely, 2^{2400212522400} is an apocalyptic number.

2400212522400 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 2400212522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068475596800).

2400212522400 is an abundant number, since it is smaller than the sum of its proper divisors (7736738671200).

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

2400212522400 is a wasteful number, since it uses less digits than its factorization.

2400212522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 2400212522400 its reverse (42252120042), we get a palindrome (2442464642442).

The spelling of 2400212522400 in words is "two trillion, four hundred billion, two hundred twelve million, five hundred twenty-two thousand, four hundred".