2532801312 has 240 divisors, whose sum is σ = 7705938240. Its totient is φ = 815712768.

The previous prime is 2532801311. The next prime is 2532801319. The reversal of 2532801312 is 2131082352.

2532801312 is a `hidden beast` number, since 25 + 328 + 0 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2532801311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14149639 + ... + 14149817.

It is an arithmetic number, because the mean of its divisors is an integer number (32108076).

Almost surely, 2^2532801312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852969120).

2532801312 is an abundant number, since it is smaller than the sum of its proper divisors (5173136928).

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

2532801312 is a wasteful number, since it uses less digits than its factorization.

2532801312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2532801312 is about 50326.9441949340. The cubic root of 2532801312 is about 1363.1187997160.

Adding to 2532801312 its reverse (2131082352), we get a palindrome (4663883664).

The spelling of 2532801312 in words is "two billion, five hundred thirty-two million, eight hundred one thousand, three hundred twelve".