2531442400000 has 108 divisors (see below), whose sum is σ = 6315843197664. Its totient is φ = 1012576640000.

The previous prime is 2531442399971. The next prime is 2531442400033. The reversal of 2531442400000 is 42441352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 782152 + ... + 2382151.

It is an arithmetic number, because the mean of its divisors is an integer number (58480029608).

Almost surely, 2^{2531442400000} is an apocalyptic number.

2531442400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531442400000 is an abundant number, since it is smaller than the sum of its proper divisors (3784400797664).

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

2531442400000 is an frugal number, since it uses more digits than its factorization.

2531442400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164344 (or 3164310 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2531442400000 its reverse (42441352), we get a palindrome (2531484841352).

The spelling of 2531442400000 in words is "two trillion, five hundred thirty-one billion, four hundred forty-two million, four hundred thousand".