2102724 has 36 divisors (see below), whose sum is σ = 5725356. Its totient is φ = 646848.

The previous prime is 2102717. The next prime is 2102741. The reversal of 2102724 is 4272012.

It can be written as a sum of positive squares in 2 ways, for example, as 1397124 + 705600 = 1182^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2102697 and 2102706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1779 + ... + 2714.

2^2102724 is an apocalyptic number.

It is an amenable number.

2102724 is an abundant number, since it is smaller than the sum of its proper divisors (3622632).

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

2102724 is a wasteful number, since it uses less digits than its factorization.

2102724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2102724 is about 1450.0772393221. The cubic root of 2102724 is about 128.1132623790.

Subtracting from 2102724 its product of nonzero digits (224), we obtain a square (2102500 = 1450²).

Adding to 2102724 its reverse (4272012), we get a palindrome (6374736).

It can be divided in two parts, 210272 and 4, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2102724 in words is "two million, one hundred two thousand, seven hundred twenty-four".