2461632640 has 96 divisors (see below), whose sum is σ = 6251840100. Its totient is φ = 926662656.

The previous prime is 2461632631. The next prime is 2461632671. The reversal of 2461632640 is 462361642.

It can be written as a sum of positive squares in 6 ways, for example, as 925619776 + 1536012864 = 30424^2 + 39192^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2461632596 and 2461632605.

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 11 ways as a sum of consecutive naturals, for example, 178306 + ... + 191614.

Almost surely, 2^2461632640 is an apocalyptic number.

2461632640 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 2461632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125920050).

2461632640 is an abundant number, since it is smaller than the sum of its proper divisors (3790207460).

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

2461632640 is a wasteful number, since it uses less digits than its factorization.

2461632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2461632640 is about 49614.8429403944. The cubic root of 2461632640 is about 1350.2299818522.

The spelling of 2461632640 in words is "two billion, four hundred sixty-one million, six hundred thirty-two thousand, six hundred forty".