2911656960 has 264 divisors, whose sum is σ = 10173917520. Its totient is φ = 769916928.

The previous prime is 2911656931. The next prime is 2911656961. The reversal of 2911656960 is 696561192.

It is a happy number.

2911656960 is a `hidden beast` number, since 29 + 1 + 1 + 6 + 569 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2911656961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8248144 + ... + 8248496.

Almost surely, 2^2911656960 is an apocalyptic number.

2911656960 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 2911656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086958760).

2911656960 is an abundant number, since it is smaller than the sum of its proper divisors (7262260560).

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

2911656960 is a wasteful number, since it uses less digits than its factorization.

2911656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2911656960 is about 53959.7716822449. The cubic root of 2911656960 is about 1427.9513200457.

The spelling of 2911656960 in words is "two billion, nine hundred eleven million, six hundred fifty-six thousand, nine hundred sixty".