2506380 has 48 divisors (see below), whose sum is σ = 7213920. Its totient is φ = 649728.

The previous prime is 2506373. The next prime is 2506391. The reversal of 2506380 is 836052.

2506380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2506380.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1656 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (150290).

2^2506380 is an apocalyptic number.

2506380 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 2506380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606960).

2506380 is an abundant number, since it is smaller than the sum of its proper divisors (4707540).

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

2506380 is a wasteful number, since it uses less digits than its factorization.

2506380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2506380 is about 1583.1550776851. The cubic root of 2506380 is about 135.8362359858.

The spelling of 2506380 in words is "two million, five hundred six thousand, three hundred eighty".