2005374 has 48 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 541296.

The previous prime is 2005373. The next prime is 2005387. The reversal of 2005374 is 4735002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2005374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5407 + ... + 5765.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

2^2005374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

2005374 is an abundant number, since it is smaller than the sum of its proper divisors (2919426).

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

2005374 is a wasteful number, since it uses less digits than its factorization.

2005374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2005374 is about 1416.1122836837. The cubic root of 2005374 is about 126.1048509956.

The spelling of 2005374 in words is "two million, five thousand, three hundred seventy-four".