2133008640 has 360 divisors, whose sum is σ = 8725590720. Its totient is φ = 487378944.

The previous prime is 2133008629. The next prime is 2133008659. The reversal of 2133008640 is 468003312.

It is a happy number.

2133008640 is a `hidden beast` number, since 2 + 13 + 3 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724291 + ... + 727229.

It is an arithmetic number, because the mean of its divisors is an integer number (24237752).

Almost surely, 2^2133008640 is an apocalyptic number.

2133008640 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 2133008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362795360).

2133008640 is an abundant number, since it is smaller than the sum of its proper divisors (6592582080).

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

2133008640 is an equidigital number, since it uses as much as digits as its factorization.

2133008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2133008640 is about 46184.5064929788. The cubic root of 2133008640 is about 1287.2538661675.

The spelling of 2133008640 in words is "two billion, one hundred thirty-three million, eight thousand, six hundred forty".