2542540 has 96 divisors (see below), whose sum is σ = 7225344. Its totient is φ = 725760.

The previous prime is 2542531. The next prime is 2542549. The reversal of 2542540 is 452452.

It is an interprime number because it is at equal distance from previous prime (2542531) and next prime (2542549).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19957 + ... + 20083.

It is an arithmetic number, because the mean of its divisors is an integer number (75264).

2^2542540 is an apocalyptic number.

2542540 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 2542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612672).

2542540 is an abundant number, since it is smaller than the sum of its proper divisors (4682804).

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

2542540 is a wasteful number, since it uses less digits than its factorization.

2542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2542540 is about 1594.5344148058. The cubic root of 2542540 is about 136.4863641242.

Adding to 2542540 its reverse (452452), we get a palindrome (2994992).

The spelling of 2542540 in words is "two million, five hundred forty-two thousand, five hundred forty".