2233855680 has 448 divisors, whose sum is σ = 8602675200. Its totient is φ = 480116736.

The previous prime is 2233855667. The next prime is 2233855727. The reversal of 2233855680 is 865583322.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2233855680² = 9980222398136524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14992246 + ... + 14992394.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^2233855680 is an apocalyptic number.

2233855680 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 2233855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301337600).

2233855680 is an abundant number, since it is smaller than the sum of its proper divisors (6368819520).

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

2233855680 is a wasteful number, since it uses less digits than its factorization.

2233855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2233855680 is about 47263.6824633883. The cubic root of 2233855680 is about 1307.2290905686.

The spelling of 2233855680 in words is "two billion, two hundred thirty-three million, eight hundred fifty-five thousand, six hundred eighty".