2430780 has 96 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 564480.

The previous prime is 2430773. The next prime is 2430787. The reversal of 2430780 is 870342.

2430780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2430773) and next prime (2430787).

It is a self number, because there is not a number n which added to its sum of digits gives 2430780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430787) 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 31 ways as a sum of consecutive naturals, for example, 19077 + ... + 19203.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^2430780 is an apocalyptic number.

2430780 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 2430780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2430780 is an abundant number, since it is smaller than the sum of its proper divisors (5310660).

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

2430780 is a wasteful number, since it uses less digits than its factorization.

2430780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2430780 is about 1559.0958918553. The cubic root of 2430780 is about 134.4565256139.

It can be divided in two parts, 24 and 30780, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 2430780 in words is "two million, four hundred thirty thousand, seven hundred eighty".