2220580637280 has 288 divisors, whose sum is σ = 7988305328640. Its totient is φ = 560162718720.

The previous prime is 2220580637279. The next prime is 2220580637281. The reversal of 2220580637280 is 827360850222.

It is a happy number.

2220580637280 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 5 + 8 + 0 + 637 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2220580637279) and next prime (2220580637281).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220580637281) 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, 18627465 + ... + 18746295.

It is an arithmetic number, because the mean of its divisors is an integer number (27737171280).

Almost surely, 2^{2220580637280} is an apocalyptic number.

2220580637280 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 2220580637280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994152664320).

2220580637280 is an abundant number, since it is smaller than the sum of its proper divisors (5767724691360).

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

2220580637280 is a wasteful number, since it uses less digits than its factorization.

2220580637280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119554 (or 119543 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2220580637280 in words is "two trillion, two hundred twenty billion, five hundred eighty million, six hundred thirty-seven thousand, two hundred eighty".