2233148736 has 504 divisors, whose sum is σ = 8050926240. Its totient is φ = 539965440.

The previous prime is 2233148719. The next prime is 2233148759. The reversal of 2233148736 is 6378413322.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2233148694 and 2233148703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72037041 + ... + 72037071.

It is an arithmetic number, because the mean of its divisors is an integer number (15974060).

Almost surely, 2^2233148736 is an apocalyptic number.

2233148736 is a gapful number since it is divisible by the number (26) 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 2233148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025463120).

2233148736 is an abundant number, since it is smaller than the sum of its proper divisors (5817777504).

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

2233148736 is a wasteful number, since it uses less digits than its factorization.

2233148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 75 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 2233148736 is about 47256.2031483698. The cubic root of 2233148736 is about 1307.0911772626.

The spelling of 2233148736 in words is "two billion, two hundred thirty-three million, one hundred forty-eight thousand, seven hundred thirty-six".