2146540 has 36 divisors (see below), whose sum is σ = 4960368. Its totient is φ = 779680.

The previous prime is 2146531. The next prime is 2146549. The reversal of 2146540 is 456412.

It is an interprime number because it is at equal distance from previous prime (2146531) and next prime (2146549).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2146549) 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, 1977 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (137788).

2^2146540 is an apocalyptic number.

2146540 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 2146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480184).

2146540 is an abundant number, since it is smaller than the sum of its proper divisors (2813828).

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

2146540 is a wasteful number, since it uses less digits than its factorization.

2146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2146540 is about 1465.1075045880. The cubic root of 2146540 is about 128.9970153347.

The spelling of 2146540 in words is "two million, one hundred forty-six thousand, five hundred forty".