2133651456 has 260 divisors, whose sum is σ = 6541332600. Its totient is φ = 692748288.

The previous prime is 2133651451. The next prime is 2133651461. The reversal of 2133651456 is 6541563312.

2133651456 is a `hidden beast` number, since 2 + 133 + 6 + 514 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2133651451) and next prime (2133651461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2133651456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133651451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19574730 + ... + 19574838.

Almost surely, 2^2133651456 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 2133651456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270666300).

2133651456 is an abundant number, since it is smaller than the sum of its proper divisors (4407681144).

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

2133651456 is an equidigital number, since it uses as much as digits as its factorization.

2133651456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2133651456 is about 46191.4651856812. The cubic root of 2133651456 is about 1287.3831646391.

The spelling of 2133651456 in words is "two billion, one hundred thirty-three million, six hundred fifty-one thousand, four hundred fifty-six".