2481231600 has 180 divisors, whose sum is σ = 9117291456. Its totient is φ = 622725120.

The previous prime is 2481231587. The next prime is 2481231601. The reversal of 2481231600 is 61321842.

2481231600 is a `hidden beast` number, since 2 + 48 + 12 + 3 + 1 + 600 = 666.

2481231600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481231601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40929 + ... + 81471.

Almost surely, 2^2481231600 is an apocalyptic number.

2481231600 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 2481231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558645728).

2481231600 is an abundant number, since it is smaller than the sum of its proper divisors (6636059856).

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

2481231600 is a wasteful number, since it uses less digits than its factorization.

2481231600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40584 (or 40570 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2481231600 is about 49811.9624186801. The cubic root of 2481231600 is about 1353.8039217529.

The spelling of 2481231600 in words is "two billion, four hundred eighty-one million, two hundred thirty-one thousand, six hundred".