2729383064900 has 36 divisors (see below), whose sum is σ = 5927328040788. Its totient is φ = 1090911421440.

The previous prime is 2729383064789. The next prime is 2729383065001. The reversal of 2729383064900 is 94603839272.

It can be written as a sum of positive squares in 6 ways, for example, as 452078727424 + 2277304337476 = 672368^2 + 1509074^2 .

It is a super-2 number, since 2×2729383064900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10392209 + ... + 10651608.

It is an arithmetic number, because the mean of its divisors is an integer number (164648001133).

Almost surely, 2^{2729383064900} is an apocalyptic number.

2729383064900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2729383064900 is an abundant number, since it is smaller than the sum of its proper divisors (3197944975888).

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

2729383064900 is a wasteful number, since it uses less digits than its factorization.

2729383064900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21045128 (or 21045121 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 2729383064900 in words is "two trillion, seven hundred twenty-nine billion, three hundred eighty-three million, sixty-four thousand, nine hundred".