2735689104 has 60 divisors (see below), whose sum is σ = 7753075200. Its totient is φ = 900349632.

The previous prime is 2735689081. The next prime is 2735689109. The reversal of 2735689104 is 4019865372.

2735689104 is a `hidden beast` number, since 2 + 73 + 568 + 9 + 10 + 4 = 666.

2735689104 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2735689104 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2735689104.

It is not an unprimeable number, because it can be changed into a prime (2735689109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108864 + ... + 131615.

It is an arithmetic number, because the mean of its divisors is an integer number (129217920).

It is a 1-persistent number, because it is pandigital, but 2⋅2735689104 = 5471378208 is not.

Almost surely, 2^2735689104 is an apocalyptic number.

2735689104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2735689104 is an abundant number, since it is smaller than the sum of its proper divisors (5017386096).

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

2735689104 is a wasteful number, since it uses less digits than its factorization.

2735689104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240572 (or 240563 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2735689104 is about 52303.8153866427. The cubic root of 2735689104 is about 1398.5851529430.

The spelling of 2735689104 in words is "two billion, seven hundred thirty-five million, six hundred eighty-nine thousand, one hundred four".