2504223522400 has 144 divisors (see below), whose sum is σ = 6142278431520. Its totient is φ = 996974899200.

The previous prime is 2504223522397. The next prime is 2504223522433. The reversal of 2504223522400 is 42253224052.

2504223522400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2504223522400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 147846732 + ... + 147863668.

It is an arithmetic number, because the mean of its divisors is an integer number (42654711330).

Almost surely, 2^{2504223522400} is an apocalyptic number.

2504223522400 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 2504223522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071139215760).

2504223522400 is an abundant number, since it is smaller than the sum of its proper divisors (3638054909120).

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

2504223522400 is a wasteful number, since it uses less digits than its factorization.

2504223522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17817 (or 17804 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 2504223522400 its reverse (42253224052), we get a palindrome (2546476746452).

The spelling of 2504223522400 in words is "two trillion, five hundred four billion, two hundred twenty-three million, five hundred twenty-two thousand, four hundred".