2461536000 has 1152 divisors, whose sum is σ = 11632158720. Its totient is φ = 497664000.

The previous prime is 2461535953. The next prime is 2461536001. The reversal of 2461536000 is 6351642.

2461536000 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461536001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 66527982 + ... + 66528018.

It is an arithmetic number, because the mean of its divisors is an integer number (10097360).

Almost surely, 2^2461536000 is an apocalyptic number.

2461536000 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 2461536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816079360).

2461536000 is an abundant number, since it is smaller than the sum of its proper divisors (9170622720).

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

2461536000 is a wasteful number, since it uses less digits than its factorization.

2461536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2461536000 is about 49613.8690287303. The cubic root of 2461536000 is about 1350.2123122873.

Adding to 2461536000 its reverse (6351642), we get a palindrome (2467887642).

The spelling of 2461536000 in words is "two billion, four hundred sixty-one million, five hundred thirty-six thousand".