2542480 has 40 divisors (see below), whose sum is σ = 6019704. Its totient is φ = 998400.

The previous prime is 2542471. The next prime is 2542481. The reversal of 2542480 is 842452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 2521744 = 144^2 + 1588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2542481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4620 + ... + 5140.

2^2542480 is an apocalyptic number.

2542480 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 2542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009852).

2542480 is an abundant number, since it is smaller than the sum of its proper divisors (3477224).

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

2542480 is a wasteful number, since it uses less digits than its factorization.

2542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2542480 is about 1594.5156004254. The cubic root of 2542480 is about 136.4852904936.

The spelling of 2542480 in words is "two million, five hundred forty-two thousand, four hundred eighty".