2461003200 has 504 divisors, whose sum is σ = 9335414400. Its totient is φ = 613785600.

The previous prime is 2461003141. The next prime is 2461003241. The reversal of 2461003200 is 23001642.

It is a happy number.

2461003200 is a `hidden beast` number, since 2 + 461 + 0 + 0 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16516726 + ... + 16516874.

Almost surely, 2^2461003200 is an apocalyptic number.

2461003200 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 2461003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667707200).

2461003200 is an abundant number, since it is smaller than the sum of its proper divisors (6874411200).

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

2461003200 is a wasteful number, since it uses less digits than its factorization.

2461003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2461003200 is about 49608.4992717982. The cubic root of 2461003200 is about 1350.1148873420.

Adding to 2461003200 its reverse (23001642), we get a palindrome (2484004842).

The spelling of 2461003200 in words is "two billion, four hundred sixty-one million, three thousand, two hundred".