2481864000 has 896 divisors, whose sum is σ = 10955243520. Its totient is φ = 479232000.

The previous prime is 2481863963. The next prime is 2481864023. The reversal of 2481864000 is 4681842.

2481864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31415961 + ... + 31416039.

Almost surely, 2^2481864000 is an apocalyptic number.

2481864000 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 2481864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477621760).

2481864000 is an abundant number, since it is smaller than the sum of its proper divisors (8473379520).

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

2481864000 is a wasteful number, since it uses less digits than its factorization.

2481864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2481864000 is about 49818.3098870285. The cubic root of 2481864000 is about 1353.9189281976.

The spelling of 2481864000 in words is "two billion, four hundred eighty-one million, eight hundred sixty-four thousand".