2101824 has 84 divisors (see below), whose sum is σ = 6240780. Its totient is φ = 675840.

The previous prime is 2101823. The next prime is 2101843. The reversal of 2101824 is 4281012.

2101824 = T₃₈₁ + T₃₈₂ + ... + T₄₀₇.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 1871424 = 480^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2101797 and 2101806.

It is not an unprimeable number, because it can be changed into a prime (2101823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23572 + ... + 23660.

It is an arithmetic number, because the mean of its divisors is an integer number (74295).

2^2101824 is an apocalyptic number.

2101824 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 2101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120390).

2101824 is an abundant number, since it is smaller than the sum of its proper divisors (4138956).

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

2101824 is a wasteful number, since it uses less digits than its factorization.

2101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2101824 is about 1449.7668778117. The cubic root of 2101824 is about 128.0949815854.

Adding to 2101824 its reverse (4281012), we get a palindrome (6382836).

The spelling of 2101824 in words is "two million, one hundred one thousand, eight hundred twenty-four".