2211840000 has 360 divisors, whose sum is σ = 8189347320. Its totient is φ = 589824000.

The previous prime is 2211839969. The next prime is 2211840019. The reversal of 2211840000 is 481122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 442367998 + ... + 442368002.

It is an arithmetic number, because the mean of its divisors is an integer number (22748187).

Almost surely, 2^2211840000 is an apocalyptic number.

2211840000 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 2211840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094673660).

2211840000 is an abundant number, since it is smaller than the sum of its proper divisors (5977507320).

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

2211840000 is an frugal number, since it uses more digits than its factorization.

2211840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2211840000 is about 47030.2030614370. The cubic root of 2211840000 is about 1302.9204559656.

The spelling of 2211840000 in words is "two billion, two hundred eleven million, eight hundred forty thousand".