2735708416 has 81 divisors (see below), whose sum is σ = 6365909739. Its totient is φ = 1169935872.

The previous prime is 2735708413. The next prime is 2735708449. The reversal of 2735708416 is 6148075372.

The square root of 2735708416 is 52304.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (2735708413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5857815 + ... + 5858281.

Almost surely, 2^2735708416 is an apocalyptic number.

2735708416 is the 52304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735708416

2735708416 is an abundant number, since it is smaller than the sum of its proper divisors (3630201323).

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

2735708416 is an frugal number, since it uses more digits than its factorization.

2735708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The cubic root of 2735708416 is about 1398.5884439375.

The spelling of 2735708416 in words is "two billion, seven hundred thirty-five million, seven hundred eight thousand, four hundred sixteen".