2058144 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 623360.

The previous prime is 2058143. The next prime is 2058157. The reversal of 2058144 is 4418502.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2058143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 2030.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

2^2058144 is an apocalyptic number.

2058144 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 2058144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2058144 is an abundant number, since it is smaller than the sum of its proper divisors (3838656).

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

2058144 is a wasteful number, since it uses less digits than its factorization.

2058144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2058144 is about 1434.6232955030. The cubic root of 2058144 is about 127.2014081566.

The spelling of 2058144 in words is "two million, fifty-eight thousand, one hundred forty-four".