2541352122400 has 288 divisors, whose sum is σ = 7641132686208. Its totient is φ = 803732889600.

The previous prime is 2541352122367. The next prime is 2541352122401. The reversal of 2541352122400 is 42212531452.

It is a happy number.

It is a super-2 number, since 2×2541352122400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2541352122401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110862940 + ... + 110885860.

It is an arithmetic number, because the mean of its divisors is an integer number (26531710716).

Almost surely, 2^{2541352122400} is an apocalyptic number.

2541352122400 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 2541352122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820566343104).

2541352122400 is an abundant number, since it is smaller than the sum of its proper divisors (5099780563808).

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

2541352122400 is a wasteful number, since it uses less digits than its factorization.

2541352122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484 (or 24471 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 2541352122400 its reverse (42212531452), we get a palindrome (2583564653852).

The spelling of 2541352122400 in words is "two trillion, five hundred forty-one billion, three hundred fifty-two million, one hundred twenty-two thousand, four hundred".