2735458565064 has 32 divisors (see below), whose sum is σ = 7074461808000. Its totient is φ = 880377468992.

The previous prime is 2735458565051. The next prime is 2735458565089. The reversal of 2735458565064 is 4605658545372.

2735458565064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2735458565064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2735458564989 and 2735458565007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965127584 + ... + 1965128975.

It is an arithmetic number, because the mean of its divisors is an integer number (221076931500).

Almost surely, 2^{2735458565064} is an apocalyptic number.

2735458565064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2735458565064 is an abundant number, since it is smaller than the sum of its proper divisors (4339003242936).

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

2735458565064 is a wasteful number, since it uses less digits than its factorization.

2735458565064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930256597 (or 3930256593 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 60.

The spelling of 2735458565064 in words is "two trillion, seven hundred thirty-five billion, four hundred fifty-eight million, five hundred sixty-five thousand, sixty-four".