2641549680 has 960 divisors, whose sum is σ = 12033515520. Its totient is φ = 503193600.

The previous prime is 2641549679. The next prime is 2641549697. The reversal of 2641549680 is 869451462.

2641549680 is a `hidden beast` number, since 2 + 6 + 41 + 549 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 49840534 + ... + 49840586.

It is an arithmetic number, because the mean of its divisors is an integer number (12534912).

Almost surely, 2^2641549680 is an apocalyptic number.

2641549680 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 2641549680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

2641549680 is an abundant number, since it is smaller than the sum of its proper divisors (9391965840).

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

2641549680 is a wasteful number, since it uses less digits than its factorization.

2641549680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2641549680 is about 51396.0084053227. The cubic root of 2641549680 is about 1382.3550210015.

The spelling of 2641549680 in words is "two billion, six hundred forty-one million, five hundred forty-nine thousand, six hundred eighty".