2461152000 has 288 divisors, whose sum is σ = 8448620544. Its totient is φ = 634368000.

The previous prime is 2461151971. The next prime is 2461152011. The reversal of 2461152000 is 2511642.

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 31 ways as a sum of consecutive naturals, for example, 2975587 + ... + 2976413.

It is an arithmetic number, because the mean of its divisors is an integer number (29335488).

Almost surely, 2^2461152000 is an apocalyptic number.

2461152000 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 2461152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224310272).

2461152000 is an abundant number, since it is smaller than the sum of its proper divisors (5987468544).

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

2461152000 is an equidigital number, since it uses as much as digits as its factorization.

2461152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2461152000 is about 49609.9989921387. The cubic root of 2461152000 is about 1350.1420975255.

Adding to 2461152000 its reverse (2511642), we get a palindrome (2463663642).

The spelling of 2461152000 in words is "two billion, four hundred sixty-one million, one hundred fifty-two thousand".