2223121680 has 320 divisors, whose sum is σ = 8451959040. Its totient is φ = 533606400.

The previous prime is 2223121679. The next prime is 2223121687. The reversal of 2223121680 is 861213222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2223121687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150315 + ... + 1152245.

It is an arithmetic number, because the mean of its divisors is an integer number (26412372).

Almost surely, 2^2223121680 is an apocalyptic number.

2223121680 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 2223121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225979520).

2223121680 is an abundant number, since it is smaller than the sum of its proper divisors (6228837360).

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

2223121680 is a wasteful number, since it uses less digits than its factorization.

2223121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2223121680 is about 47149.9913043470. The cubic root of 2223121680 is about 1305.1319195482.

The spelling of 2223121680 in words is "two billion, two hundred twenty-three million, one hundred twenty-one thousand, six hundred eighty".