2140512 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 648320.

The previous prime is 2140477. The next prime is 2140513. The reversal of 2140512 is 2150412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2140491 and 2140500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140513) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

2^2140512 is an apocalyptic number.

2140512 is a gapful number since it is divisible by the number (22) 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 2140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2140512 is an abundant number, since it is smaller than the sum of its proper divisors (3992160).

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

2140512 is a wasteful number, since it uses less digits than its factorization.

2140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2043 counting only the distinct ones).

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

The square root of 2140512 is about 1463.0488713642. The cubic root of 2140512 is about 128.8761505885.

Adding to 2140512 its reverse (2150412), we get a palindrome (4290924).

The spelling of 2140512 in words is "two million, one hundred forty thousand, five hundred twelve".