2211212640 has 768 divisors, whose sum is σ = 9364045824. Its totient is φ = 425779200.

The previous prime is 2211212599. The next prime is 2211212657. The reversal of 2211212640 is 462121122.

It is a super-2 number, since 2×2211212640² = 9778922678591539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31143805 + ... + 31143875.

It is an arithmetic number, because the mean of its divisors is an integer number (12192768).

Almost surely, 2^2211212640 is an apocalyptic number.

2211212640 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 2211212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682022912).

2211212640 is an abundant number, since it is smaller than the sum of its proper divisors (7152833184).

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

2211212640 is a wasteful number, since it uses less digits than its factorization.

2211212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2211212640 is about 47023.5328319768. The cubic root of 2211212640 is about 1302.7972587676.

Adding to 2211212640 its reverse (462121122), we get a palindrome (2673333762).

The spelling of 2211212640 in words is "two billion, two hundred eleven million, two hundred twelve thousand, six hundred forty".