2735161568 has 48 divisors (see below), whose sum is σ = 5685805440. Its totient is φ = 1291593600.

The previous prime is 2735161567. The next prime is 2735161579. The reversal of 2735161568 is 8651615372.

It is a super-2 number, since 2×2735161568² = 14962217606128437248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735161567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194453 + ... + 208043.

It is an arithmetic number, because the mean of its divisors is an integer number (118454280).

Almost surely, 2^2735161568 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 2735161568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842902720).

2735161568 is an abundant number, since it is smaller than the sum of its proper divisors (2950643872).

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

2735161568 is a wasteful number, since it uses less digits than its factorization.

2735161568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13943 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 2735161568 is about 52298.7721461986. The cubic root of 2735161568 is about 1398.4952485449.

The spelling of 2735161568 in words is "two billion, seven hundred thirty-five million, one hundred sixty-one thousand, five hundred sixty-eight".