2582718116240 has 80 divisors (see below), whose sum is σ = 6063301447680. Its totient is φ = 1023055971840.

The previous prime is 2582718116183. The next prime is 2582718116263. The reversal of 2582718116240 is 426118172852.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5261621 + ... + 5731499.

It is an arithmetic number, because the mean of its divisors is an integer number (75791268096).

Almost surely, 2^{2582718116240} is an apocalyptic number.

2582718116240 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 2582718116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031650723840).

2582718116240 is an abundant number, since it is smaller than the sum of its proper divisors (3480583331440).

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

2582718116240 is a wasteful number, since it uses less digits than its factorization.

2582718116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470560 (or 470554 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 2582718116240 in words is "two trillion, five hundred eighty-two billion, seven hundred eighteen million, one hundred sixteen thousand, two hundred forty".