2461300 has 36 divisors (see below), whose sum is σ = 5409376. Its totient is φ = 972000.

The previous prime is 2461297. The next prime is 2461309. The reversal of 2461300 is 31642.

2461300 = 45² + 46² + ... + 195².

2461300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461309) 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 11 ways as a sum of consecutive naturals, for example, 15019 + ... + 15181.

2^2461300 is an apocalyptic number.

2461300 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 2461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704688).

2461300 is an abundant number, since it is smaller than the sum of its proper divisors (2948076).

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

2461300 is a wasteful number, since it uses less digits than its factorization.

2461300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2461300 is about 1568.8530842625. The cubic root of 2461300 is about 135.0169160330.

Adding to 2461300 its reverse (31642), we get a palindrome (2492942).

The spelling of 2461300 in words is "two million, four hundred sixty-one thousand, three hundred".