2133646560 has 288 divisors, whose sum is σ = 7578567360. Its totient is φ = 546201600.

The previous prime is 2133646547. The next prime is 2133646607. The reversal of 2133646560 is 656463312.

2133646560 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 646 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4191586 + ... + 4192094.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^2133646560 is an apocalyptic number.

2133646560 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 2133646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789283680).

2133646560 is an abundant number, since it is smaller than the sum of its proper divisors (5444920800).

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

2133646560 is a wasteful number, since it uses less digits than its factorization.

2133646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2133646560 is about 46191.4121888474. The cubic root of 2133646560 is about 1287.3821799371.

It can be divided in two parts, 21336 and 46560, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 2133646560 in words is "two billion, one hundred thirty-three million, six hundred forty-six thousand, five hundred sixty".