2729405385 has 192 divisors, whose sum is σ = 6019153920. Its totient is φ = 1116011520.

The previous prime is 2729405363. The next prime is 2729405401. The reversal of 2729405385 is 5835049272.

2729405385 is a `hidden beast` number, since 2 + 72 + 9 + 40 + 538 + 5 = 666.

It is not a de Polignac number, because 2729405385 - 2¹⁰ = 2729404361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2729405385.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8719989 + ... + 8720301.

It is an arithmetic number, because the mean of its divisors is an integer number (31349760).

Almost surely, 2^2729405385 is an apocalyptic number.

It is an amenable number.

2729405385 is an abundant number, since it is smaller than the sum of its proper divisors (3289748535).

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

2729405385 is a wasteful number, since it uses less digits than its factorization.

2729405385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2729405385 is about 52243.7114397513. The cubic root of 2729405385 is about 1397.5135090641.

The spelling of 2729405385 in words is "two billion, seven hundred twenty-nine million, four hundred five thousand, three hundred eighty-five".