2582465421312 has 560 divisors, whose sum is σ = 8917688926080. Its totient is φ = 729440059392.

The previous prime is 2582465421307. The next prime is 2582465421313. The reversal of 2582465421312 is 2131245642852.

2582465421312 is a `hidden beast` number, since 2 + 5 + 82 + 4 + 6 + 542 + 13 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (2582465421313) 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, 413389773 + ... + 413396019.

Almost surely, 2^{2582465421312} 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 2582465421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458844463040).

2582465421312 is an abundant number, since it is smaller than the sum of its proper divisors (6335223504768).

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

2582465421312 is an frugal number, since it uses more digits than its factorization.

2582465421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6348 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 2582465421312 in words is "two trillion, five hundred eighty-two billion, four hundred sixty-five million, four hundred twenty-one thousand, three hundred twelve".