2220512624640 has 960 divisors, whose sum is σ = 8310004792320. Its totient is φ = 561842749440.

The previous prime is 2220512624609. The next prime is 2220512624641. The reversal of 2220512624640 is 464262150222.

2220512624640 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 5 + 1 + 2 + 6 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2220512624595 and 2220512624604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220512624641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3519037125 + ... + 3519037755.

It is an arithmetic number, because the mean of its divisors is an integer number (8656254992).

Almost surely, 2^{2220512624640} is an apocalyptic number.

2220512624640 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 2220512624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155002396160).

2220512624640 is an abundant number, since it is smaller than the sum of its proper divisors (6089492167680).

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

2220512624640 is an equidigital number, since it uses as much as digits as its factorization.

2220512624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 721 counting only the distinct ones).

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

Adding to 2220512624640 its reverse (464262150222), we get a palindrome (2684774774862).

The spelling of 2220512624640 in words is "two trillion, two hundred twenty billion, five hundred twelve million, six hundred twenty-four thousand, six hundred forty".