2488903200 has 864 divisors, whose sum is σ = 10919301120. Its totient is φ = 541209600.

The previous prime is 2488903187. The next prime is 2488903211. The reversal of 2488903200 is 23098842.

2488903200 is a `hidden beast` number, since 248 + 8 + 90 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42184771 + ... + 42184829.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2^2488903200 is an apocalyptic number.

2488903200 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 2488903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

2488903200 is an abundant number, since it is smaller than the sum of its proper divisors (8430397920).

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

2488903200 is a wasteful number, since it uses less digits than its factorization.

2488903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

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

The square root of 2488903200 is about 49888.9085869795. The cubic root of 2488903200 is about 1355.1977398722.

The spelling of 2488903200 in words is "two billion, four hundred eighty-eight million, nine hundred three thousand, two hundred".