2740035312 has 180 divisors, whose sum is σ = 8960895216. Its totient is φ = 779304960.

The previous prime is 2740035251. The next prime is 2740035313. The reversal of 2740035312 is 2135300472.

2740035312 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 is a super-2 number, since 2×2740035312² = 15015587022013874688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740035313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1812637 + ... + 1814147.

Almost surely, 2^2740035312 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 2740035312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480447608).

2740035312 is an abundant number, since it is smaller than the sum of its proper divisors (6220859904).

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

2740035312 is a wasteful number, since it uses less digits than its factorization.

2740035312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2740035312 is about 52345.3466126646. The cubic root of 2740035312 is about 1399.3254083327.

Adding to 2740035312 its reverse (2135300472), we get a palindrome (4875335784).

The spelling of 2740035312 in words is "two billion, seven hundred forty million, thirty-five thousand, three hundred twelve".