2606765690880 has 520 divisors, whose sum is σ = 10063495298472. Its totient is φ = 641660092416.

The previous prime is 2606765690863. The next prime is 2606765690917. The reversal of 2606765690880 is 880965676062.

2606765690880 is a `hidden beast` number, since 2 + 6 + 0 + 67 + 6 + 569 + 0 + 8 + 8 + 0 = 666.

2606765690880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65028096 + 2606700662784 = 8064^2 + 1614528^2 .

It is a tau number, because it is divible by the number of its divisors (520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21505002 + ... + 21625878.

Almost surely, 2^{2606765690880} is an apocalyptic number.

2606765690880 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 2606765690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031747649236).

2606765690880 is an abundant number, since it is smaller than the sum of its proper divisors (7456729607592).

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

2606765690880 is a wasteful number, since it uses less digits than its factorization.

2606765690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120931 (or 120900 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2606765690880 in words is "two trillion, six hundred six billion, seven hundred sixty-five million, six hundred ninety thousand, eight hundred eighty".