2661935616 has 320 divisors, whose sum is σ = 8555880960. Its totient is φ = 813957120.

The previous prime is 2661935611. The next prime is 2661935641. The reversal of 2661935616 is 6165391662.

2661935616 is a `hidden beast` number, since 26 + 6 + 1 + 9 + 3 + 5 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661935611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11045256 + ... + 11045496.

It is an arithmetic number, because the mean of its divisors is an integer number (26737128).

Almost surely, 2^2661935616 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 2661935616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277940480).

2661935616 is an abundant number, since it is smaller than the sum of its proper divisors (5893945344).

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

2661935616 is a wasteful number, since it uses less digits than its factorization.

2661935616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2661935616 is about 51593.9494126976. The cubic root of 2661935616 is about 1385.9019814118.

The spelling of 2661935616 in words is "two billion, six hundred sixty-one million, nine hundred thirty-five thousand, six hundred sixteen".