2689154297856 has 1248 divisors, whose sum is σ = 9193445771328. Its totient is φ = 779700142080.

The previous prime is 2689154297839. The next prime is 2689154297857. The reversal of 2689154297856 is 6587924519862.

2689154297856 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 1 + 542 + 9 + 78 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2689154297857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19628863420 + ... + 19628863556.

It is an arithmetic number, because the mean of its divisors is an integer number (7366543086).

Almost surely, 2^{2689154297856} is an apocalyptic number.

2689154297856 is a gapful number since it is divisible by the number (26) 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 2689154297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596722885664).

2689154297856 is an abundant number, since it is smaller than the sum of its proper divisors (6504291473472).

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

2689154297856 is a wasteful number, since it uses less digits than its factorization.

2689154297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 233 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 2689154297856 in words is "two trillion, six hundred eighty-nine billion, one hundred fifty-four million, two hundred ninety-seven thousand, eight hundred fifty-six".