3005261706240 has 176 divisors, whose sum is σ = 10680157978560. Its totient is φ = 801403084800.

The previous prime is 3005261706221. The next prime is 3005261706247. The reversal of 3005261706240 is 426071625003.

3005261706240 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 26 + 1 + 7 + 0 + 624 + 0 = 666.

3005261706240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3005261706195 and 3005261706204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005261706247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10731486 + ... + 11007965.

Almost surely, 2^{3005261706240} is an apocalyptic number.

3005261706240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005261706240 is an abundant number, since it is smaller than the sum of its proper divisors (7674896272320).

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

3005261706240 is a wasteful number, since it uses less digits than its factorization.

3005261706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21739485 (or 21739461 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3005261706240 in words is "three trillion, five billion, two hundred sixty-one million, seven hundred six thousand, two hundred forty".