2213569628160 has 768 divisors, whose sum is σ = 8209289088000. Its totient is φ = 503556341760.

The previous prime is 2213569628131. The next prime is 2213569628167. The reversal of 2213569628160 is 618269653122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×2213569628160³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213569628167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699830739 + ... + 699833901.

It is an arithmetic number, because the mean of its divisors is an integer number (10689178500).

Almost surely, 2^{2213569628160} is an apocalyptic number.

2213569628160 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 2213569628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104644544000).

2213569628160 is an abundant number, since it is smaller than the sum of its proper divisors (5995719459840).

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

2213569628160 is a wasteful number, since it uses less digits than its factorization.

2213569628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2213569628160 in words is "two trillion, two hundred thirteen billion, five hundred sixty-nine million, six hundred twenty-eight thousand, one hundred sixty".