2488284900 has 288 divisors, whose sum is σ = 8841934080. Its totient is φ = 597104640.

The previous prime is 2488284889. The next prime is 2488284901. The reversal of 2488284900 is 94828842.

It is a happy number.

2488284900 is a `hidden beast` number, since 2 + 488 + 2 + 84 + 90 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488284901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054522 + ... + 1056878.

It is an arithmetic number, because the mean of its divisors is an integer number (30701160).

Almost surely, 2^2488284900 is an apocalyptic number.

2488284900 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 2488284900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420967040).

2488284900 is an abundant number, since it is smaller than the sum of its proper divisors (6353649180).

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

2488284900 is a wasteful number, since it uses less digits than its factorization.

2488284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2488284900 is about 49882.7114339227. The cubic root of 2488284900 is about 1355.0855099606.

The spelling of 2488284900 in words is "two billion, four hundred eighty-eight million, two hundred eighty-four thousand, nine hundred".