2580242480640 has 1600 divisors, whose sum is σ = 10626404152320. Its totient is φ = 592295362560.

The previous prime is 2580242480609. The next prime is 2580242480653. The reversal of 2580242480640 is 460842420852.

2580242480640 is a `hidden beast` number, since 2 + 580 + 2 + 4 + 2 + 4 + 8 + 0 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 7187304781 + ... + 7187305139.

Almost surely, 2^{2580242480640} is an apocalyptic number.

2580242480640 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 2580242480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313202076160).

2580242480640 is an abundant number, since it is smaller than the sum of its proper divisors (8046161671680).

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

2580242480640 is a wasteful number, since it uses less digits than its factorization.

2580242480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 2580242480640 in words is "two trillion, five hundred eighty billion, two hundred forty-two million, four hundred eighty thousand, six hundred forty".