2211204240 has 240 divisors, whose sum is σ = 8576201088. Its totient is φ = 500097024.

The previous prime is 2211204223. The next prime is 2211204241. The reversal of 2211204240 is 424021122.

2211204240 is a `hidden beast` number, since 221 + 1 + 20 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2211204241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486619 + ... + 491141.

Almost surely, 2^2211204240 is an apocalyptic number.

2211204240 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 2211204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288100544).

2211204240 is an abundant number, since it is smaller than the sum of its proper divisors (6364996848).

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

2211204240 is a wasteful number, since it uses less digits than its factorization.

2211204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2211204240 is about 47023.4435149107. The cubic root of 2211204240 is about 1302.7956090678.

Adding to 2211204240 its reverse (424021122), we get a palindrome (2635225362).

The spelling of 2211204240 in words is "two billion, two hundred eleven million, two hundred four thousand, two hundred forty".