2689070247864 has 768 divisors, whose sum is σ = 10284773990400. Its totient is φ = 612135014400.

The previous prime is 2689070247847. The next prime is 2689070247887. The reversal of 2689070247864 is 4687420709862.

2689070247864 is a `hidden beast` number, since 2 + 6 + 8 + 90 + 70 + 2 + 478 + 6 + 4 = 666.

2689070247864 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118402942 + ... + 118425650.

It is an arithmetic number, because the mean of its divisors is an integer number (13391632800).

Almost surely, 2^{2689070247864} is an apocalyptic number.

2689070247864 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 2689070247864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142386995200).

2689070247864 is an abundant number, since it is smaller than the sum of its proper divisors (7595703742536).

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

2689070247864 is a wasteful number, since it uses less digits than its factorization.

2689070247864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22836 (or 22829 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 2689070247864 in words is "two trillion, six hundred eighty-nine billion, seventy million, two hundred forty-seven thousand, eight hundred sixty-four".