2542512 has 120 divisors (see below), whose sum is σ = 8142336. Its totient is φ = 680064.

The previous prime is 2542511. The next prime is 2542513. The reversal of 2542512 is 2152452.

It is a happy number.

2542512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2542511) and next prime (2542513).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2542511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54073 + ... + 54119.

2^2542512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168).

2542512 is an abundant number, since it is smaller than the sum of its proper divisors (5599824).

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

2542512 is a wasteful number, since it uses less digits than its factorization.

2542512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 2542512 is about 1594.5256347892. The cubic root of 2542512 is about 136.4858630987.

Adding to 2542512 its reverse (2152452), we get a palindrome (4694964).

The spelling of 2542512 in words is "two million, five hundred forty-two thousand, five hundred twelve".