2481600 has 168 divisors, whose sum is σ = 9070848. Its totient is φ = 588800.

The previous prime is 2481517. The next prime is 2481601. The reversal of 2481600 is 61842.

2481600 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 (2481601) 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 23 ways as a sum of consecutive naturals, for example, 52777 + ... + 52823.

2^2481600 is an apocalyptic number.

2481600 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 2481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

2481600 is an abundant number, since it is smaller than the sum of its proper divisors (6589248).

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

2481600 is a wasteful number, since it uses less digits than its factorization.

2481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2481600 is about 1575.3094934012. The cubic root of 2481600 is about 135.3870920293.

It can be divided in two parts, 2481 and 600, that added together give a triangular number (3081 = T₇₈).

The spelling of 2481600 in words is "two million, four hundred eighty-one thousand, six hundred".