2704690889820 has 288 divisors, whose sum is σ = 8763464908800. Its totient is φ = 692471928960.

The previous prime is 2704690889801. The next prime is 2704690889837. The reversal of 2704690889820 is 289880964072.

2704690889820 is a `hidden beast` number, since 2 + 7 + 0 + 469 + 0 + 88 + 98 + 2 + 0 = 666.

2704690889820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65884861 + ... + 65925899.

It is an arithmetic number, because the mean of its divisors is an integer number (30428697600).

Almost surely, 2^{2704690889820} is an apocalyptic number.

2704690889820 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 2704690889820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381732454400).

2704690889820 is an abundant number, since it is smaller than the sum of its proper divisors (6058774018980).

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

2704690889820 is a wasteful number, since it uses less digits than its factorization.

2704690889820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41246 (or 41207 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2704690889820 in words is "two trillion, seven hundred four billion, six hundred ninety million, eight hundred eighty-nine thousand, eight hundred twenty".