2582977807872 has 1440 divisors, whose sum is σ = 9838532960256. Its totient is φ = 662171811840.

The previous prime is 2582977807849. The next prime is 2582977807877. The reversal of 2582977807872 is 2787087792852.

2582977807872 is a `hidden beast` number, since 258 + 297 + 7 + 8 + 0 + 7 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2582977807872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582977807877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13383304608 + ... + 13383304800.

Almost surely, 2^{2582977807872} is an apocalyptic number.

2582977807872 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 2582977807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919266480128).

2582977807872 is an abundant number, since it is smaller than the sum of its proper divisors (7255555152384).

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

2582977807872 is a wasteful number, since it uses less digits than its factorization.

2582977807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 442552320, while the sum is 72.

The spelling of 2582977807872 in words is "two trillion, five hundred eighty-two billion, nine hundred seventy-seven million, eight hundred seven thousand, eight hundred seventy-two".