2542410 has 96 divisors (see below), whose sum is σ = 7429968. Its totient is φ = 599040.

The previous prime is 2542399. The next prime is 2542417. The reversal of 2542410 is 142452.

2542410 is a `hidden beast` number, since 254 + 2 + 410 = 666.

2542410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 301401 + 2241009 = 549^2 + 1497^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542417) 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 47 ways as a sum of consecutive naturals, for example, 47944 + ... + 47996.

2^2542410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984).

2542410 is an abundant number, since it is smaller than the sum of its proper divisors (4887558).

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

2542410 is a wasteful number, since it uses less digits than its factorization.

2542410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2542410 is about 1594.4936500344. The cubic root of 2542410 is about 136.4840379032.

Adding to 2542410 its reverse (142452), we get a palindrome (2684862).

The spelling of 2542410 in words is "two million, five hundred forty-two thousand, four hundred ten".