2543405125400 has 384 divisors, whose sum is σ = 6442462656000. Its totient is φ = 930327552000.

The previous prime is 2543405125361. The next prime is 2543405125411. The reversal of 2543405125400 is 45215043452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7684003235 + ... + 7684003565.

It is an arithmetic number, because the mean of its divisors is an integer number (16777246500).

Almost surely, 2^{2543405125400} is an apocalyptic number.

2543405125400 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 2543405125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221231328000).

2543405125400 is an abundant number, since it is smaller than the sum of its proper divisors (3899057530600).

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

2543405125400 is a wasteful number, since it uses less digits than its factorization.

2543405125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 2543405125400 in words is "two trillion, five hundred forty-three billion, four hundred five million, one hundred twenty-five thousand, four hundred".