2488768200 has 384 divisors, whose sum is σ = 9142272000. Its totient is φ = 620524800.

The previous prime is 2488768187. The next prime is 2488768201. The reversal of 2488768200 is 28678842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2488768201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13030105 + ... + 13030295.

It is an arithmetic number, because the mean of its divisors is an integer number (23808000).

Almost surely, 2^2488768200 is an apocalyptic number.

2488768200 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 2488768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571136000).

2488768200 is an abundant number, since it is smaller than the sum of its proper divisors (6653503800).

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

2488768200 is a wasteful number, since it uses less digits than its factorization.

2488768200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2488768200 is about 49887.5555624847. Note that the first 4 decimals coincide. The cubic root of 2488768200 is about 1355.1732371109.

The spelling of 2488768200 in words is "two billion, four hundred eighty-eight million, seven hundred sixty-eight thousand, two hundred".