2690717772960 has 288 divisors, whose sum is σ = 10495878486912. Its totient is φ = 614899353600.

The previous prime is 2690717772959. The next prime is 2690717772973. The reversal of 2690717772960 is 692777170962.

2690717772960 is a `hidden beast` number, since 269 + 0 + 7 + 17 + 77 + 296 + 0 = 666.

2690717772960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56938462 + ... + 56985698.

It is an arithmetic number, because the mean of its divisors is an integer number (36444022524).

Almost surely, 2^{2690717772960} is an apocalyptic number.

2690717772960 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 2690717772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247939243456).

2690717772960 is an abundant number, since it is smaller than the sum of its proper divisors (7805160713952).

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

2690717772960 is a wasteful number, since it uses less digits than its factorization.

2690717772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52916 (or 52905 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 2690717772960 in words is "two trillion, six hundred ninety billion, seven hundred seventeen million, seven hundred seventy-two thousand, nine hundred sixty".