2545431204400 has 360 divisors, whose sum is σ = 7240371274080. Its totient is φ = 857235456000.

The previous prime is 2545431204361. The next prime is 2545431204401. The reversal of 2545431204400 is 44021345452.

It is not an unprimeable number, because it can be changed into a prime (2545431204401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1684599645 + ... + 1684601155.

It is an arithmetic number, because the mean of its divisors is an integer number (20112142428).

Almost surely, 2^{2545431204400} is an apocalyptic number.

2545431204400 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 2545431204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620185637040).

2545431204400 is an abundant number, since it is smaller than the sum of its proper divisors (4694940069680).

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

2545431204400 is a wasteful number, since it uses less digits than its factorization.

2545431204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 2545431204400 its reverse (44021345452), we get a palindrome (2589452549852).

The spelling of 2545431204400 in words is "two trillion, five hundred forty-five billion, four hundred thirty-one million, two hundred four thousand, four hundred".