2220687136272 has 320 divisors, whose sum is σ = 6613736693760. Its totient is φ = 635904000000.

The previous prime is 2220687136247. The next prime is 2220687136337. The reversal of 2220687136272 is 2726317860222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138776272 + ... + 138792272.

It is an arithmetic number, because the mean of its divisors is an integer number (20667927168).

Almost surely, 2^{2220687136272} is an apocalyptic number.

2220687136272 is a gapful number since it is divisible by the number (22) 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 2220687136272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306868346880).

2220687136272 is an abundant number, since it is smaller than the sum of its proper divisors (4393049557488).

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

2220687136272 is a wasteful number, since it uses less digits than its factorization.

2220687136272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16254 (or 16248 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2220687136272 in words is "two trillion, two hundred twenty billion, six hundred eighty-seven million, one hundred thirty-six thousand, two hundred seventy-two".