2106540 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 543168.

The previous prime is 2106529. The next prime is 2106551. The reversal of 2106540 is 456012.

It is a happy number.

2106540 is a `hidden beast` number, since 2 + 10 + 654 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2106529) and next prime (2106551).

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

It is an Ulam number.

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 31 ways as a sum of consecutive naturals, for example, 25339 + ... + 25421.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2^2106540 is an apocalyptic number.

2106540 is a gapful number since it is divisible by the number (20) 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 2106540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2106540 is an abundant number, since it is smaller than the sum of its proper divisors (4667220).

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

2106540 is a wasteful number, since it uses less digits than its factorization.

2106540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2106540 is about 1451.3924348707. The cubic root of 2106540 is about 128.1907150498.

The spelling of 2106540 in words is "two million, one hundred six thousand, five hundred forty".