2606082073824 has 96 divisors (see below), whose sum is σ = 6908165429760. Its totient is φ = 860168379392.

The previous prime is 2606082073807. The next prime is 2606082073853. The reversal of 2606082073824 is 4283702806062.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22056697 + ... + 22174535.

It is an arithmetic number, because the mean of its divisors is an integer number (71960056560).

Almost surely, 2^{2606082073824} is an apocalyptic number.

2606082073824 is a gapful number since it is divisible by the number (24) 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 2606082073824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454082714880).

2606082073824 is an abundant number, since it is smaller than the sum of its proper divisors (4302083355936).

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

2606082073824 is a wasteful number, since it uses less digits than its factorization.

2606082073824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120112 (or 120104 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

Adding to 2606082073824 its reverse (4283702806062), we get a palindrome (6889784879886).

The spelling of 2606082073824 in words is "two trillion, six hundred six billion, eighty-two million, seventy-three thousand, eight hundred twenty-four".