2729034144 has 288 divisors, whose sum is σ = 8491392000. Its totient is φ = 828652032.

The previous prime is 2729034137. The next prime is 2729034211. The reversal of 2729034144 is 4414309272.

2729034144 is a `hidden beast` number, since 27 + 290 + 341 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2729034099 and 2729034108.

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, 25504939 + ... + 25505045.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^2729034144 is an apocalyptic number.

2729034144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2729034144 is an abundant number, since it is smaller than the sum of its proper divisors (5762357856).

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

2729034144 is a wasteful number, since it uses less digits than its factorization.

2729034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2729034144 is about 52240.1583458550. The cubic root of 2729034144 is about 1397.4501450997.

The spelling of 2729034144 in words is "two billion, seven hundred twenty-nine million, thirty-four thousand, one hundred forty-four".