2233918000 has 80 divisors (see below), whose sum is σ = 5455588320. Its totient is φ = 884640000.

The previous prime is 2233917991. The next prime is 2233918013. The reversal of 2233918000 is 8193322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2233918000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196471 + ... + 207529.

It is an arithmetic number, because the mean of its divisors is an integer number (68194854).

Almost surely, 2^2233918000 is an apocalyptic number.

2233918000 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 2233918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727794160).

2233918000 is an abundant number, since it is smaller than the sum of its proper divisors (3221670320).

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

2233918000 is a wasteful number, since it uses less digits than its factorization.

2233918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11183 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2233918000 is about 47264.3417387781. The cubic root of 2233918000 is about 1307.2412467940.

The spelling of 2233918000 in words is "two billion, two hundred thirty-three million, nine hundred eighteen thousand".