2506840 has 48 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 858816.

The previous prime is 2506831. The next prime is 2506843. The reversal of 2506840 is 486052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506843) 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 11 ways as a sum of consecutive naturals, for example, 1321 + ... + 2599.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

2^2506840 is an apocalyptic number.

2506840 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 2506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2506840 is an abundant number, since it is smaller than the sum of its proper divisors (4059560).

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

2506840 is a wasteful number, since it uses less digits than its factorization.

2506840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2506840 is about 1583.3003505337. The cubic root of 2506840 is about 135.8445455593.

The spelling of 2506840 in words is "two million, five hundred six thousand, eight hundred forty".