2505032344400 has 240 divisors, whose sum is σ = 6362882481600. Its totient is φ = 945123655680.

The previous prime is 2505032344387. The next prime is 2505032344417. The reversal of 2505032344400 is 44432305052.

It is a super-2 number, since 2×2505032344400² (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 47 ways as a sum of consecutive naturals, for example, 3240662414 + ... + 3240663186.

It is an arithmetic number, because the mean of its divisors is an integer number (26512010340).

Almost surely, 2^{2505032344400} is an apocalyptic number.

2505032344400 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 2505032344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181441240800).

2505032344400 is an abundant number, since it is smaller than the sum of its proper divisors (3857850137200).

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

2505032344400 is a wasteful number, since it uses less digits than its factorization.

2505032344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 2505032344400 its reverse (44432305052), we get a palindrome (2549464649452).

The spelling of 2505032344400 in words is "two trillion, five hundred five billion, thirty-two million, three hundred forty-four thousand, four hundred".