2735796224 has 156 divisors (see below), whose sum is σ = 6532682904. Its totient is φ = 1141604352.

The previous prime is 2735796209. The next prime is 2735796227. The reversal of 2735796224 is 4226975372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735796227) 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, 8630114 + ... + 8630430.

Almost surely, 2^2735796224 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 2735796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266341452).

2735796224 is an abundant number, since it is smaller than the sum of its proper divisors (3796886680).

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

2735796224 is an equidigital number, since it uses as much as digits as its factorization.

2735796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 369 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The square root of 2735796224 is about 52304.8393936928. The cubic root of 2735796224 is about 1398.6034072695.

The spelling of 2735796224 in words is "two billion, seven hundred thirty-five million, seven hundred ninety-six thousand, two hundred twenty-four".