2488012800 has 624 divisors, whose sum is σ = 10238094720. Its totient is φ = 519045120.

The previous prime is 2488012783. The next prime is 2488012801. The reversal of 2488012800 is 82108842.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488012801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27955156 + ... + 27955244.

Almost surely, 2^2488012800 is an apocalyptic number.

2488012800 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 2488012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119047360).

2488012800 is an abundant number, since it is smaller than the sum of its proper divisors (7750081920).

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

2488012800 is a wasteful number, since it uses less digits than its factorization.

2488012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2488012800 is about 49879.9839615050. The cubic root of 2488012800 is about 1355.0361141957.

The spelling of 2488012800 in words is "two billion, four hundred eighty-eight million, twelve thousand, eight hundred".