2582981712 has 120 divisors (see below), whose sum is σ = 7436336544. Its totient is φ = 836589312.

The previous prime is 2582981711. The next prime is 2582981747. The reversal of 2582981712 is 2171892852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582981711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815043 + ... + 818205.

Almost surely, 2^2582981712 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 2582981712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718168272).

2582981712 is an abundant number, since it is smaller than the sum of its proper divisors (4853354832).

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

2582981712 is a wasteful number, since it uses less digits than its factorization.

2582981712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3328 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 2582981712 is about 50823.0431202225. The cubic root of 2582981712 is about 1372.0621283281.

The spelling of 2582981712 in words is "two billion, five hundred eighty-two million, nine hundred eighty-one thousand, seven hundred twelve".