2532414041280 has 672 divisors, whose sum is σ = 9605309313600. Its totient is φ = 632869355520.

The previous prime is 2532414041273. The next prime is 2532414041293. The reversal of 2532414041280 is 821404142352.

2532414041280 is a `hidden beast` number, since 2 + 5 + 3 + 24 + 140 + 412 + 80 = 666.

2532414041280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318578746 + ... + 318586694.

It is an arithmetic number, because the mean of its divisors is an integer number (14293615050).

Almost surely, 2^{2532414041280} is an apocalyptic number.

2532414041280 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 2532414041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802654656800).

2532414041280 is an abundant number, since it is smaller than the sum of its proper divisors (7072895272320).

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

2532414041280 is a wasteful number, since it uses less digits than its factorization.

2532414041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8217 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2532414041280 in words is "two trillion, five hundred thirty-two billion, four hundred fourteen million, forty-one thousand, two hundred eighty".