2481249600 has 252 divisors, whose sum is σ = 9059241724. Its totient is φ = 643645440.

The previous prime is 2481249583. The next prime is 2481249611. The reversal of 2481249600 is 69421842.

2481249600 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 2 + 49 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41679936 + 2439569664 = 6456^2 + 49392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 530472 + ... + 535128.

Almost surely, 2^2481249600 is an apocalyptic number.

2481249600 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 2481249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529620862).

2481249600 is an abundant number, since it is smaller than the sum of its proper divisors (6577992124).

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

2481249600 is a wasteful number, since it uses less digits than its factorization.

2481249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2481249600 is about 49812.1430978431. The cubic root of 2481249600 is about 1353.8071954513.

The spelling of 2481249600 in words is "two billion, four hundred eighty-one million, two hundred forty-nine thousand, six hundred".