2735498304 has 630 divisors, whose sum is σ = 10484750430. Its totient is φ = 702535680.

The previous prime is 2735498303. The next prime is 2735498321. The reversal of 2735498304 is 4038945372.

2735498304 is a `hidden beast` number, since 2 + 73 + 549 + 8 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 768398400 = 44352^2 + 27720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2735498304.

It is not an unprimeable number, because it can be changed into a prime (2735498303) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30735892 + ... + 30735980.

It is an arithmetic number, because the mean of its divisors is an integer number (16642461).

Almost surely, 2^2735498304 is an apocalyptic number.

2735498304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242375215).

2735498304 is an abundant number, since it is smaller than the sum of its proper divisors (7749252126).

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

2735498304 is a wasteful number, since it uses less digits than its factorization.

2735498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2735498304 is about 52301.9913961218. The cubic root of 2735498304 is about 1398.5526375217.

The spelling of 2735498304 in words is "two billion, seven hundred thirty-five million, four hundred ninety-eight thousand, three hundred four".