2729129598 has 112 divisors (see below), whose sum is σ = 6664449456. Its totient is φ = 832809600.

The previous prime is 2729129597. The next prime is 2729129603. The reversal of 2729129598 is 8959219272.

2729129598 is a `hidden beast` number, since 2 + 7 + 29 + 1 + 29 + 598 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729129597) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2596173 + ... + 2597223.

It is an arithmetic number, because the mean of its divisors is an integer number (59504013).

Almost surely, 2^2729129598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729129598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332224728).

2729129598 is an abundant number, since it is smaller than the sum of its proper divisors (3935319858).

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

2729129598 is a wasteful number, since it uses less digits than its factorization.

2729129598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 2729129598 is about 52241.0719453573. The cubic root of 2729129598 is about 1397.4664378788.

The spelling of 2729129598 in words is "two billion, seven hundred twenty-nine million, one hundred twenty-nine thousand, five hundred ninety-eight".