2735721936 has 120 divisors (see below), whose sum is σ = 8026212480. Its totient is φ = 868209408.

The previous prime is 2735721917. The next prime is 2735721953. The reversal of 2735721936 is 6391275372.

2735721936 is a `hidden beast` number, since 2 + 73 + 572 + 1 + 9 + 3 + 6 = 666.

2735721936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2735721936² = 14968349022223176192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2735721891 and 2735721900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756645 + ... + 760251.

It is an arithmetic number, because the mean of its divisors is an integer number (66885104).

Almost surely, 2^2735721936 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 2735721936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013106240).

2735721936 is an abundant number, since it is smaller than the sum of its proper divisors (5290490544).

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

2735721936 is a wasteful number, since it uses less digits than its factorization.

2735721936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3864 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 2735721936 is about 52304.1292442576. The cubic root of 2735721936 is about 1398.5907478970.

The spelling of 2735721936 in words is "two billion, seven hundred thirty-five million, seven hundred twenty-one thousand, nine hundred thirty-six".