2531142224400 has 120 divisors (see below), whose sum is σ = 8111423273184. Its totient is φ = 674693964800.

The previous prime is 2531142224383. The next prime is 2531142224431. The reversal of 2531142224400 is 44222411352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497147 + ... + 3361253.

Almost surely, 2^{2531142224400} is an apocalyptic number.

2531142224400 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 2531142224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055711636592).

2531142224400 is an abundant number, since it is smaller than the sum of its proper divisors (5580281048784).

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

2531142224400 is a wasteful number, since it uses less digits than its factorization.

2531142224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866569 (or 866558 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2531142224400 its reverse (44222411352), we get a palindrome (2575364635752).

The spelling of 2531142224400 in words is "two trillion, five hundred thirty-one billion, one hundred forty-two million, two hundred twenty-four thousand, four hundred".