2729594009296 has 240 divisors, whose sum is σ = 7041272329728. Its totient is φ = 999930286080.

The previous prime is 2729594009251. The next prime is 2729594009309. The reversal of 2729594009296 is 6929004959272.

It is a super-2 number, since 2×2729594009296² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257333625 + ... + 257344231.

Almost surely, 2^{2729594009296} 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 2729594009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520636164864).

2729594009296 is an abundant number, since it is smaller than the sum of its proper divisors (4311678320432).

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

2729594009296 is a wasteful number, since it uses less digits than its factorization.

2729594009296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11761 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

The spelling of 2729594009296 in words is "two trillion, seven hundred twenty-nine billion, five hundred ninety-four million, nine thousand, two hundred ninety-six".