2666964960 has 192 divisors, whose sum is σ = 10183138560. Its totient is φ = 646525440.

The previous prime is 2666964917. The next prime is 2666964967. The reversal of 2666964960 is 694696662.

It is a happy number.

It is a super-2 number, since 2×2666964960² = 14225404195735603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2666964897 and 2666964906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666964967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19459 + ... + 75581.

It is an arithmetic number, because the mean of its divisors is an integer number (53037180).

Almost surely, 2^2666964960 is an apocalyptic number.

2666964960 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 2666964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091569280).

2666964960 is an abundant number, since it is smaller than the sum of its proper divisors (7516173600).

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

2666964960 is a wasteful number, since it uses less digits than its factorization.

2666964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56158 (or 56144 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 2666964960 is about 51642.6660814486. Note that the first 3 decimals coincide. The cubic root of 2666964960 is about 1386.7742530349.

The spelling of 2666964960 in words is "two billion, six hundred sixty-six million, nine hundred sixty-four thousand, nine hundred sixty".