2958000 has 160 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 716800.

The previous prime is 2957963. The next prime is 2958019. The reversal of 2958000 is 8592.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101986 + ... + 102014.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

2^2958000 is an apocalyptic number.

2958000 is a gapful number since it is divisible by the number (20) 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 2958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

2958000 is an abundant number, since it is smaller than the sum of its proper divisors (7487760).

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

2958000 is a wasteful number, since it uses less digits than its factorization.

2958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2958000 is about 1719.8837169995. The cubic root of 2958000 is about 143.5487416726.

The spelling of 2958000 in words is "two million, nine hundred fifty-eight thousand".