2233513440 has 480 divisors, whose sum is σ = 8430428160. Its totient is φ = 555641856.

The previous prime is 2233513423. The next prime is 2233513453. The reversal of 2233513440 is 443153322.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 17586657 + ... + 17586783.

It is an arithmetic number, because the mean of its divisors is an integer number (17563392).

Almost surely, 2^2233513440 is an apocalyptic number.

2233513440 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 2233513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215214080).

2233513440 is an abundant number, since it is smaller than the sum of its proper divisors (6196914720).

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

2233513440 is a wasteful number, since it uses less digits than its factorization.

2233513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2233513440 is about 47260.0617858250. The cubic root of 2233513440 is about 1307.1623287306.

Adding to 2233513440 its reverse (443153322), we get a palindrome (2676666762).

The spelling of 2233513440 in words is "two billion, two hundred thirty-three million, five hundred thirteen thousand, four hundred forty".