2488147200 has 1296 divisors, whose sum is σ = 12135473280. Its totient is φ = 486604800.

The previous prime is 2488147163. The next prime is 2488147213. The reversal of 2488147200 is 27418842.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146361592 + ... + 146361608.

Almost surely, 2^2488147200 is an apocalyptic number.

2488147200 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 2488147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

2488147200 is an abundant number, since it is smaller than the sum of its proper divisors (9647326080).

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

2488147200 is a wasteful number, since it uses less digits than its factorization.

2488147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2488147200 is about 49881.3311771047. The cubic root of 2488147200 is about 1355.0605129949.

The spelling of 2488147200 in words is "two billion, four hundred eighty-eight million, one hundred forty-seven thousand, two hundred".