2641767640 has 64 divisors (see below), whose sum is σ = 6009615360. Its totient is φ = 1045094400.

The previous prime is 2641767631. The next prime is 2641767647. The reversal of 2641767640 is 467671462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641767647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2199040 + ... + 2200240.

It is an arithmetic number, because the mean of its divisors is an integer number (93900240).

Almost surely, 2^2641767640 is an apocalyptic number.

2641767640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641767640 is an abundant number, since it is smaller than the sum of its proper divisors (3367847720).

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

2641767640 is a wasteful number, since it uses less digits than its factorization.

2641767640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 2641767640 is about 51398.1287597126. The cubic root of 2641767640 is about 1382.3930403273.

The spelling of 2641767640 in words is "two billion, six hundred forty-one million, seven hundred sixty-seven thousand, six hundred forty".