2729066004 has 144 divisors (see below), whose sum is σ = 8071539840. Its totient is φ = 761368320.

The previous prime is 2729066003. The next prime is 2729066009. The reversal of 2729066004 is 4006609272.

It is a happy number.

2729066004 is a `hidden beast` number, since 27 + 29 + 0 + 6 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2729066004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729066003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2571634 + ... + 2572694.

It is an arithmetic number, because the mean of its divisors is an integer number (56052360).

Almost surely, 2^2729066004 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 2729066004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035769920).

2729066004 is an abundant number, since it is smaller than the sum of its proper divisors (5342473836).

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

2729066004 is a wasteful number, since it uses less digits than its factorization.

2729066004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2729066004 is about 52240.4632827849. The cubic root of 2729066004 is about 1397.4555832372.

The spelling of 2729066004 in words is "two billion, seven hundred twenty-nine million, sixty-six thousand, four".