2005948 has 24 divisors (see below), whose sum is σ = 4143104. Its totient is φ = 831600.

The previous prime is 2005943. The next prime is 2005957. The reversal of 2005948 is 8495002.

It is a happy number.

2005948 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005943) 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, 288 + ... + 2023.

2^2005948 is an apocalyptic number.

2005948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2005948 is an abundant number, since it is smaller than the sum of its proper divisors (2137156).

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

2005948 is a wasteful number, since it uses less digits than its factorization.

2005948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2005948 is about 1416.3149367284. The cubic root of 2005948 is about 126.1168815494.

The spelling of 2005948 in words is "two million, five thousand, nine hundred forty-eight".