2525240114400 has 288 divisors, whose sum is σ = 8247513875328. Its totient is φ = 671119718400.

The previous prime is 2525240114279. The next prime is 2525240114437. The reversal of 2525240114400 is 44110425252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185001335 + ... + 1185003465.

It is an arithmetic number, because the mean of its divisors is an integer number (28637200956).

Almost surely, 2^{2525240114400} is an apocalyptic number.

2525240114400 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 2525240114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123756937664).

2525240114400 is an abundant number, since it is smaller than the sum of its proper divisors (5722273760928).

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

2525240114400 is a wasteful number, since it uses less digits than its factorization.

2525240114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2525240114400 its reverse (44110425252), we get a palindrome (2569350539652).

The spelling of 2525240114400 in words is "two trillion, five hundred twenty-five billion, two hundred forty million, one hundred fourteen thousand, four hundred".