2965581660 has 96 divisors (see below), whose sum is σ = 9006645312. Its totient is φ = 726138880.

The previous prime is 2965581637. The next prime is 2965581713. The reversal of 2965581660 is 661855692.

2965581660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6364 + ... + 77276.

It is an arithmetic number, because the mean of its divisors is an integer number (93819222).

Almost surely, 2^2965581660 is an apocalyptic number.

2965581660 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 2965581660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503322656).

2965581660 is an abundant number, since it is smaller than the sum of its proper divisors (6041063652).

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

2965581660 is a wasteful number, since it uses less digits than its factorization.

2965581660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70983 (or 70981 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 2965581660 is about 54457.1543509207. The cubic root of 2965581660 is about 1436.7128046389.

The spelling of 2965581660 in words is "two billion, nine hundred sixty-five million, five hundred eighty-one thousand, six hundred sixty".