2222261252640 has 1536 divisors, whose sum is σ = 9784696320000. Its totient is φ = 462986772480.

The previous prime is 2222261252633. The next prime is 2222261252657. The reversal of 2222261252640 is 462521622222.

2222261252640 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 2 + 6 + 1 + 2 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2222261252595 and 2222261252604.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 692507356 + ... + 692510564.

It is an arithmetic number, because the mean of its divisors is an integer number (6370245000).

Almost surely, 2^{2222261252640} is an apocalyptic number.

2222261252640 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 2222261252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892348160000).

2222261252640 is an abundant number, since it is smaller than the sum of its proper divisors (7562435067360).

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

2222261252640 is a wasteful number, since it uses less digits than its factorization.

2222261252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2222261252640 its reverse (462521622222), we get a palindrome (2684782874862).

The spelling of 2222261252640 in words is "two trillion, two hundred twenty-two billion, two hundred sixty-one million, two hundred fifty-two thousand, six hundred forty".