2101540 has 48 divisors (see below), whose sum is σ = 5346432. Its totient is φ = 677376.

The previous prime is 2101531. The next prime is 2101549. The reversal of 2101540 is 451012.

It is an interprime number because it is at equal distance from previous prime (2101531) and next prime (2101549).

It is a self number, because there is not a number n which added to its sum of digits gives 2101540.

It is not an unprimeable number, because it can be changed into a prime (2101549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 2821.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

2^2101540 is an apocalyptic number.

2101540 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 2101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216).

2101540 is an abundant number, since it is smaller than the sum of its proper divisors (3244892).

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

2101540 is a wasteful number, since it uses less digits than its factorization.

2101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2101540 is about 1449.6689277211. The cubic root of 2101540 is about 128.0892118963.

Adding to 2101540 its reverse (451012), we get a palindrome (2552552).

The spelling of 2101540 in words is "two million, one hundred one thousand, five hundred forty".