2641418640 has 320 divisors, whose sum is σ = 10510993920. Its totient is φ = 597196800.

The previous prime is 2641418621. The next prime is 2641418657. The reversal of 2641418640 is 468141462.

It is a happy number.

2641418640 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 4 + 1 + 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 = 2641418595 and 2641418604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1465740 + ... + 1467540.

It is an arithmetic number, because the mean of its divisors is an integer number (32846856).

Almost surely, 2^2641418640 is an apocalyptic number.

2641418640 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 2641418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255496960).

2641418640 is an abundant number, since it is smaller than the sum of its proper divisors (7869575280).

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

2641418640 is a wasteful number, since it uses less digits than its factorization.

2641418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1915 counting only the distinct ones).

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

The square root of 2641418640 is about 51394.7335823429. The cubic root of 2641418640 is about 1382.3321623491.

It can be divided in two parts, 26414 and 18640, that added together give a palindrome (45054).

The spelling of 2641418640 in words is "two billion, six hundred forty-one million, four hundred eighteen thousand, six hundred forty".