2211632640 has 480 divisors, whose sum is σ = 9152494560. Its totient is φ = 504741888.

The previous prime is 2211632639. The next prime is 2211632669. The reversal of 2211632640 is 462361122.

2211632640 is a `hidden beast` number, since 2 + 2 + 1 + 16 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2211632640³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386554 + ... + 3387206.

It is an arithmetic number, because the mean of its divisors is an integer number (19067697).

Almost surely, 2^2211632640 is an apocalyptic number.

2211632640 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 2211632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576247280).

2211632640 is an abundant number, since it is smaller than the sum of its proper divisors (6940861920).

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

2211632640 is an equidigital number, since it uses as much as digits as its factorization.

2211632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2211632640 is about 47027.9984689972. The cubic root of 2211632640 is about 1302.8797384289.

Adding to 2211632640 its reverse (462361122), we get a palindrome (2673993762).

It can be divided in two parts, 22116 and 32640, that added together give a square (54756 = 234²).

The spelling of 2211632640 in words is "two billion, two hundred eleven million, six hundred thirty-two thousand, six hundred forty".