2233314720 has 1152 divisors, whose sum is σ = 10625126400. Its totient is φ = 426995712.

The previous prime is 2233314683. The next prime is 2233314749. The reversal of 2233314720 is 274133322.

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 191 ways as a sum of consecutive naturals, for example, 97100629 + ... + 97100651.

It is an arithmetic number, because the mean of its divisors is an integer number (9223200).

Almost surely, 2^2233314720 is an apocalyptic number.

2233314720 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 2233314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312563200).

2233314720 is an abundant number, since it is smaller than the sum of its proper divisors (8391811680).

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

2233314720 is a wasteful number, since it uses less digits than its factorization.

2233314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2233314720 is about 47257.9593296198. The cubic root of 2233314720 is about 1307.1235606627.

The spelling of 2233314720 in words is "two billion, two hundred thirty-three million, three hundred fourteen thousand, seven hundred twenty".