2112540 has 48 divisors (see below), whose sum is σ = 5981472. Its totient is φ = 557056.

The previous prime is 2112533. The next prime is 2112541. The reversal of 2112540 is 452112.

2112540 is a nontrivial binomial coefficient, being equal to C(2056, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (124614).

2^2112540 is an apocalyptic number.

2112540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2112540 is the 2055-th triangular number and also the 1028-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990736).

2112540 is an abundant number, since it is smaller than the sum of its proper divisors (3868932).

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

2112540 is a wasteful number, since it uses less digits than its factorization.

2112540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2112540 is about 1453.4579457280. The cubic root of 2112540 is about 128.3123070441.

Adding to 2112540 its reverse (452112), we get a palindrome (2564652).

It can be divided in two parts, 21 and 12540, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 2112540 in words is "two million, one hundred twelve thousand, five hundred forty".