2641646140 has 144 divisors (see below), whose sum is σ = 6762667968. Its totient is φ = 848719872.

The previous prime is 2641646131. The next prime is 2641646141. The reversal of 2641646140 is 416461462.

2641646140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2641646096 and 2641646105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641646141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3924844 + ... + 3925516.

It is an arithmetic number, because the mean of its divisors is an integer number (46962972).

Almost surely, 2^2641646140 is an apocalyptic number.

2641646140 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 2641646140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381333984).

2641646140 is an abundant number, since it is smaller than the sum of its proper divisors (4121021828).

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

2641646140 is a wasteful number, since it uses less digits than its factorization.

2641646140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2641646140 is about 51396.9467964781. The cubic root of 2641646140 is about 1382.3718470264.

The spelling of 2641646140 in words is "two billion, six hundred forty-one million, six hundred forty-six thousand, one hundred forty".