2661740172 has 432 divisors, whose sum is σ = 9149868000. Its totient is φ = 644474880.

The previous prime is 2661740149. The next prime is 2661740173. The reversal of 2661740172 is 2710471662.

2661740172 is a `hidden beast` number, since 26 + 617 + 4 + 0 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2661740173) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17863954 + ... + 17864102.

It is an arithmetic number, because the mean of its divisors is an integer number (21180250).

Almost surely, 2^2661740172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661740172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574934000).

2661740172 is an abundant number, since it is smaller than the sum of its proper divisors (6488127828).

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

2661740172 is a wasteful number, since it uses less digits than its factorization.

2661740172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2661740172 is about 51592.0553186244. The cubic root of 2661740172 is about 1385.8680621271.

The spelling of 2661740172 in words is "two billion, six hundred sixty-one million, seven hundred forty thousand, one hundred seventy-two".