2746089216 has 360 divisors, whose sum is σ = 9016443744. Its totient is φ = 826122240.

The previous prime is 2746089197. The next prime is 2746089319. The reversal of 2746089216 is 6129806472.

It is a happy number.

2746089216 is a `hidden beast` number, since 27 + 4 + 608 + 9 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16443565 + ... + 16443731.

Almost surely, 2^2746089216 is an apocalyptic number.

2746089216 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 2746089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508221872).

2746089216 is an abundant number, since it is smaller than the sum of its proper divisors (6270354528).

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

2746089216 is a wasteful number, since it uses less digits than its factorization.

2746089216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2746089216 is about 52403.1412798889. The cubic root of 2746089216 is about 1400.3552187071.

The spelling of 2746089216 in words is "two billion, seven hundred forty-six million, eighty-nine thousand, two hundred sixteen".