2445632640 has 480 divisors, whose sum is σ = 9609853500. Its totient is φ = 572436480.

The previous prime is 2445632591. The next prime is 2445632647. The reversal of 2445632640 is 462365442.

2445632640 is a `hidden beast` number, since 2 + 4 + 4 + 5 + 6 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2437199424 + 8433216 = 49368^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2445632640² = 11962238019666739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2445632595 and 2445632604.

It is not an unprimeable number, because it can be changed into a prime (2445632647) 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 59 ways as a sum of consecutive naturals, for example, 84332146 + ... + 84332174.

Almost surely, 2^2445632640 is an apocalyptic number.

2445632640 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 2445632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804926750).

2445632640 is an abundant number, since it is smaller than the sum of its proper divisors (7164220860).

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

2445632640 is an equidigital number, since it uses as much as digits as its factorization.

2445632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2445632640 is about 49453.3380066503. The cubic root of 2445632640 is about 1347.2982344024.

The spelling of 2445632640 in words is "two billion, four hundred forty-five million, six hundred thirty-two thousand, six hundred forty".