2411948 has 48 divisors (see below), whose sum is σ = 5419008. Its totient is φ = 912000.

The previous prime is 2411881. The next prime is 2411957. The reversal of 2411948 is 8491142.

2411948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2411948.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12533 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

2^2411948 is an apocalyptic number.

2411948 is a gapful number since it is divisible by the number (28) 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 2411948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504).

2411948 is an abundant number, since it is smaller than the sum of its proper divisors (3007060).

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

2411948 is a wasteful number, since it uses less digits than its factorization.

2411948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 2411948 is about 1553.0447514479. The cubic root of 2411948 is about 134.1083996998.

The spelling of 2411948 in words is "two million, four hundred eleven thousand, nine hundred forty-eight".