2735349408 has 144 divisors (see below), whose sum is σ = 8606025792. Its totient is φ = 817152000.

The previous prime is 2735349403. The next prime is 2735349427. The reversal of 2735349408 is 8049435372.

2735349408 is a `hidden beast` number, since 2 + 73 + 534 + 9 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2735349403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218848 + ... + 231008.

It is an arithmetic number, because the mean of its divisors is an integer number (59764068).

Almost surely, 2^2735349408 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 2735349408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303012896).

2735349408 is an abundant number, since it is smaller than the sum of its proper divisors (5870676384).

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

2735349408 is a wasteful number, since it uses less digits than its factorization.

2735349408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259 (or 12248 counting only the distinct ones).

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

The square root of 2735349408 is about 52300.5679510271. The cubic root of 2735349408 is about 1398.5272621728.

The spelling of 2735349408 in words is "two billion, seven hundred thirty-five million, three hundred forty-nine thousand, four hundred eight".