2033112960 has 384 divisors, whose sum is σ = 7718911200. Its totient is φ = 509607936.

The previous prime is 2033112937. The next prime is 2033112973. The reversal of 2033112960 is 692113302.

2033112960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 2643456 + ... + 2644224.

Almost surely, 2^2033112960 is an apocalyptic number.

2033112960 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 2033112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859455600).

2033112960 is an abundant number, since it is smaller than the sum of its proper divisors (5685798240).

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

2033112960 is an equidigital number, since it uses as much as digits as its factorization.

2033112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2033112960 is about 45090.0538921834. The cubic root of 2033112960 is about 1266.8363109197.

The spelling of 2033112960 in words is "two billion, thirty-three million, one hundred twelve thousand, nine hundred sixty".