2746642896 has 90 divisors (see below), whose sum is σ = 7961663970. Its totient is φ = 882887040.

The previous prime is 2746642891. The next prime is 2746642909. The reversal of 2746642896 is 6982466472.

2746642896 is a `hidden beast` number, since 2 + 74 + 66 + 428 + 96 = 666.

2746642896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2367795600 + 378847296 = 48660^2 + 19464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746642891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3386331 + ... + 3387141.

It is an arithmetic number, because the mean of its divisors is an integer number (88462933).

Almost surely, 2^2746642896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2746642896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980831985).

2746642896 is an abundant number, since it is smaller than the sum of its proper divisors (5215021074).

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

2746642896 is an equidigital number, since it uses as much as digits as its factorization.

2746642896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 845 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2746642896 is about 52408.4239030330. The cubic root of 2746642896 is about 1400.4493278823.

The spelling of 2746642896 in words is "two billion, seven hundred forty-six million, six hundred forty-two thousand, eight hundred ninety-six".