2566585042640 has 80 divisors (see below), whose sum is σ = 6090443878608. Its totient is φ = 1005516914688.

The previous prime is 2566585042591. The next prime is 2566585042657. The reversal of 2566585042640 is 462405856652.

It can be written as a sum of positive squares in 8 ways, for example, as 1006394188864 + 1560190853776 = 1003192^2 + 1249076^2 .

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

It is a super-2 number, since 2×2566585042640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 15 ways as a sum of consecutive naturals, for example, 1921934 + ... + 2971026.

Almost surely, 2^{2566585042640} is an apocalyptic number.

2566585042640 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 2566585042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045221939304).

2566585042640 is an abundant number, since it is smaller than the sum of its proper divisors (3523858835968).

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

2566585042640 is a wasteful number, since it uses less digits than its factorization.

2566585042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049736 (or 1049730 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 53.

The spelling of 2566585042640 in words is "two trillion, five hundred sixty-six billion, five hundred eighty-five million, forty-two thousand, six hundred forty".