2689856936064 has 384 divisors, whose sum is σ = 8579763129600. Its totient is φ = 804565352448.

The previous prime is 2689856936027. The next prime is 2689856936071. The reversal of 2689856936064 is 4606396589862.

2689856936064 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 8 + 5 + 6 + 9 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2689856935983 and 2689856936001.

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, 140975677 + ... + 140994755.

It is an arithmetic number, because the mean of its divisors is an integer number (22343133150).

Almost surely, 2^{2689856936064} is an apocalyptic number.

2689856936064 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 2689856936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289881564800).

2689856936064 is an abundant number, since it is smaller than the sum of its proper divisors (5889906193536).

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

2689856936064 is a wasteful number, since it uses less digits than its factorization.

2689856936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19452 (or 19437 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 2689856936064 in words is "two trillion, six hundred eighty-nine billion, eight hundred fifty-six million, nine hundred thirty-six thousand, sixty-four".