2411648640 has 256 divisors, whose sum is σ = 8651721600. Its totient is φ = 642733056.

The previous prime is 2411648639. The next prime is 2411648651. The reversal of 2411648640 is 468461142.

It is a happy number.

2411648640 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 6 + 4 + 8 + 640 = 666.

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 = 2411648595 and 2411648604.

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 31 ways as a sum of consecutive naturals, for example, 1398819 + ... + 1400541.

Almost surely, 2^2411648640 is an apocalyptic number.

2411648640 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 2411648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325860800).

2411648640 is an abundant number, since it is smaller than the sum of its proper divisors (6240072960).

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

2411648640 is an frugal number, since it uses more digits than its factorization.

2411648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2411648640 is about 49108.5393796232. The cubic root of 2411648640 is about 1341.0285116230.

The spelling of 2411648640 in words is "two billion, four hundred eleven million, six hundred forty-eight thousand, six hundred forty".