2581861362432 has 288 divisors, whose sum is σ = 8083214173440. Its totient is φ = 723124224000.

The previous prime is 2581861362397. The next prime is 2581861362439. The reversal of 2581861362432 is 2342631681852.

It is not an unprimeable number, because it can be changed into a prime (2581861362439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6384832 + ... + 6777152.

It is an arithmetic number, because the mean of its divisors is an integer number (28066715880).

Almost surely, 2^{2581861362432} is an apocalyptic number.

2581861362432 is a gapful number since it is divisible by the number (22) 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 2581861362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041607086720).

2581861362432 is an abundant number, since it is smaller than the sum of its proper divisors (5501352811008).

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

2581861362432 is a wasteful number, since it uses less digits than its factorization.

2581861362432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392411 (or 392397 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 2581861362432 in words is "two trillion, five hundred eighty-one billion, eight hundred sixty-one million, three hundred sixty-two thousand, four hundred thirty-two".