2532313344000 has 768 divisors, whose sum is σ = 9406537620480. Its totient is φ = 599531520000.

The previous prime is 2532313343971. The next prime is 2532313344023. The reversal of 2532313344000 is 4433132352.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2532313344000² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 363260515 + ... + 363267485.

It is an arithmetic number, because the mean of its divisors is an integer number (12248095860).

Almost surely, 2^{2532313344000} is an apocalyptic number.

2532313344000 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 2532313344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703268810240).

2532313344000 is an abundant number, since it is smaller than the sum of its proper divisors (6874224276480).

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

2532313344000 is a wasteful number, since it uses less digits than its factorization.

2532313344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 2532313344000 its reverse (4433132352), we get a palindrome (2536746476352).

The spelling of 2532313344000 in words is "two trillion, five hundred thirty-two billion, three hundred thirteen million, three hundred forty-four thousand".