2582012139300 has 324 divisors, whose sum is σ = 8927565857028. Its totient is φ = 623707392000.

The previous prime is 2582012139283. The next prime is 2582012139319. The reversal of 2582012139300 is 39312102852.

2582012139300 is a `hidden beast` number, since 2 + 582 + 0 + 12 + 1 + 39 + 30 + 0 = 666.

2582012139300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42757141284 + 2539254998016 = 206778^2 + 1593504^2 .

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 107 ways as a sum of consecutive naturals, for example, 30558712 + ... + 30643088.

Almost surely, 2^{2582012139300} is an apocalyptic number.

2582012139300 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 2582012139300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463782928514).

2582012139300 is an abundant number, since it is smaller than the sum of its proper divisors (6345553717728).

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

2582012139300 is a wasteful number, since it uses less digits than its factorization.

2582012139300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84700 (or 84679 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2582012139300 in words is "two trillion, five hundred eighty-two billion, twelve million, one hundred thirty-nine thousand, three hundred".