2238878880 has 960 divisors, whose sum is σ = 10011133440. Its totient is φ = 459841536.

The previous prime is 2238878879. The next prime is 2238878891. The reversal of 2238878880 is 888788322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60510222 + ... + 60510258.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 2^2238878880 is an apocalyptic number.

2238878880 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 2238878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005566720).

2238878880 is an abundant number, since it is smaller than the sum of its proper divisors (7772254560).

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

2238878880 is a wasteful number, since it uses less digits than its factorization.

2238878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 2238878880 is about 47316.7927907207. The cubic root of 2238878880 is about 1308.2081984890.

The spelling of 2238878880 in words is "two billion, two hundred thirty-eight million, eight hundred seventy-eight thousand, eight hundred eighty".