2661671760 has 80 divisors (see below), whose sum is σ = 9001298880. Its totient is φ = 645253120.

The previous prime is 2661671737. The next prime is 2661671767. The reversal of 2661671760 is 671761662.

2661671760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661671767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501465 + ... + 506744.

It is an arithmetic number, because the mean of its divisors is an integer number (112516236).

Almost surely, 2^2661671760 is an apocalyptic number.

2661671760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661671760 is an abundant number, since it is smaller than the sum of its proper divisors (6339627120).

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

2661671760 is a wasteful number, since it uses less digits than its factorization.

2661671760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008236 (or 1008230 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 2661671760 is about 51591.3923053061. The cubic root of 2661671760 is about 1385.8561888397.

The spelling of 2661671760 in words is "two billion, six hundred sixty-one million, six hundred seventy-one thousand, seven hundred sixty".