2543413224400 has 120 divisors (see below), whose sum is σ = 6144475842464. Its totient is φ = 1011731212800.

The previous prime is 2543413224361. The next prime is 2543413224437. The reversal of 2543413224400 is 44223143452.

2543413224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 57926455 + ... + 57970345.

Almost surely, 2^{2543413224400} is an apocalyptic number.

2543413224400 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 2543413224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072237921232).

2543413224400 is an abundant number, since it is smaller than the sum of its proper divisors (3601062618064).

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

2543413224400 is a wasteful number, since it uses less digits than its factorization.

2543413224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44709 (or 44698 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 2543413224400 its reverse (44223143452), we get a palindrome (2587636367852).

The spelling of 2543413224400 in words is "two trillion, five hundred forty-three billion, four hundred thirteen million, two hundred twenty-four thousand, four hundred".