2532014245200 has 240 divisors, whose sum is σ = 8859054180672. Its totient is φ = 613071360000.

The previous prime is 2532014245193. The next prime is 2532014245219. The reversal of 2532014245200 is 25424102352.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2532014245200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10720380 + ... + 10954020.

Almost surely, 2^{2532014245200} is an apocalyptic number.

2532014245200 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 2532014245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429527090336).

2532014245200 is an abundant number, since it is smaller than the sum of its proper divisors (6327039935472).

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

2532014245200 is a wasteful number, since it uses less digits than its factorization.

2532014245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234494 (or 234483 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2532014245200 its reverse (25424102352), we get a palindrome (2557438347552).

The spelling of 2532014245200 in words is "two trillion, five hundred thirty-two billion, fourteen million, two hundred forty-five thousand, two hundred".