2729958 has 64 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 669600.

The previous prime is 2729957. The next prime is 2729959. The reversal of 2729958 is 8599272.

It is an interprime number because it is at equal distance from previous prime (2729957) and next prime (2729959).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8623 + ... + 8933.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

2^2729958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).

2729958 is an abundant number, since it is smaller than the sum of its proper divisors (4458522).

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

2729958 is a wasteful number, since it uses less digits than its factorization.

2729958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its digits is 90720, while the sum is 42.

The square root of 2729958 is about 1652.2584543588. The cubic root of 2729958 is about 139.7607819571.

The spelling of 2729958 in words is "two million, seven hundred twenty-nine thousand, nine hundred fifty-eight".