2489241600 has 468 divisors, whose sum is σ = 9282336076. Its totient is φ = 637009920.

The previous prime is 2489241581. The next prime is 2489241613. The reversal of 2489241600 is 61429842.

2489241600 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 2 + 41 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35426304 + 2453815296 = 5952^2 + 49536^2 .

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 35 ways as a sum of consecutive naturals, for example, 34099164 + ... + 34099236.

Almost surely, 2^2489241600 is an apocalyptic number.

2489241600 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 2489241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641168038).

2489241600 is an abundant number, since it is smaller than the sum of its proper divisors (6793094476).

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

2489241600 is a wasteful number, since it uses less digits than its factorization.

2489241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

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

The square root of 2489241600 is about 49892.3000071153. The cubic root of 2489241600 is about 1355.2591562332.

The spelling of 2489241600 in words is "two billion, four hundred eighty-nine million, two hundred forty-one thousand, six hundred".