2221316658288 has 360 divisors, whose sum is σ = 7978192779648. Its totient is φ = 585840542976.

The previous prime is 2221316658271. The next prime is 2221316658313. The reversal of 2221316658288 is 8828566131222.

2221316658288 is a `hidden beast` number, since 2 + 2 + 21 + 31 + 6 + 6 + 582 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4358031 + ... + 4840977.

Almost surely, 2^{2221316658288} is an apocalyptic number.

2221316658288 is a gapful number since it is divisible by the number (28) 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 2221316658288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989096389824).

2221316658288 is an abundant number, since it is smaller than the sum of its proper divisors (5756876121360).

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

2221316658288 is a wasteful number, since it uses less digits than its factorization.

2221316658288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483003 (or 482972 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 2221316658288 in words is "two trillion, two hundred twenty-one billion, three hundred sixteen million, six hundred fifty-eight thousand, two hundred eighty-eight".