2735460500 has 36 divisors (see below), whose sum is σ = 5976801012. Its totient is φ = 1093716400.

The previous prime is 2735460487. The next prime is 2735460527. The reversal of 2735460500 is 50645372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 87534736 + 2647925764 = 9356^2 + 51458^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168331 + ... + 1170669.

Almost surely, 2^2735460500 is an apocalyptic number.

2735460500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735460500 is an abundant number, since it is smaller than the sum of its proper divisors (3241340512).

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

2735460500 is an frugal number, since it uses more digits than its factorization.

2735460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 2735460500 is about 52301.6299937201. The cubic root of 2735460500 is about 1398.5461949262.

The spelling of 2735460500 in words is "two billion, seven hundred thirty-five million, four hundred sixty thousand, five hundred".