2232074880 has 320 divisors, whose sum is σ = 9111358080. Its totient is φ = 510105600.

The previous prime is 2232074827. The next prime is 2232074881. The reversal of 2232074880 is 884702322.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2232074880³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2232074881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359805 + ... + 365955.

It is an arithmetic number, because the mean of its divisors is an integer number (28472994).

Almost surely, 2^2232074880 is an apocalyptic number.

2232074880 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 2232074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555679040).

2232074880 is an abundant number, since it is smaller than the sum of its proper divisors (6879283200).

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

2232074880 is an equidigital number, since it uses as much as digits as its factorization.

2232074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2232074880 is about 47244.8397182168. The cubic root of 2232074880 is about 1306.8816296809.

The spelling of 2232074880 in words is "two billion, two hundred thirty-two million, seventy-four thousand, eight hundred eighty".