2211299840 has 80 divisors (see below), whose sum is σ = 5333651928. Its totient is φ = 879230976.

The previous prime is 2211299813. The next prime is 2211299869. The reversal of 2211299840 is 489921122.

It can be written as a sum of positive squares in 4 ways, for example, as 2017087744 + 194212096 = 44912^2 + 13936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2211299794 and 2211299803.

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 7 ways as a sum of consecutive naturals, for example, 440384 + ... + 445376.

Almost surely, 2^2211299840 is an apocalyptic number.

2211299840 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 2211299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666825964).

2211299840 is an abundant number, since it is smaller than the sum of its proper divisors (3122352088).

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

2211299840 is an equidigital number, since it uses as much as digits as its factorization.

2211299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 2211299840 is about 47024.4600181650. The cubic root of 2211299840 is about 1302.8143839753.

The spelling of 2211299840 in words is "two billion, two hundred eleven million, two hundred ninety-nine thousand, eight hundred forty".