2213620351104 has 128 divisors (see below), whose sum is σ = 5971924298880. Its totient is φ = 726360965120.

The previous prime is 2213620351031. The next prime is 2213620351123. The reversal of 2213620351104 is 4011530263122.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17741224 + ... + 17865560.

It is an arithmetic number, because the mean of its divisors is an integer number (46655658585).

Almost surely, 2^{2213620351104} is an apocalyptic number.

2213620351104 is a gapful number since it is divisible by the number (24) 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 2213620351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985962149440).

2213620351104 is an abundant number, since it is smaller than the sum of its proper divisors (3758303947776).

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

2213620351104 is a wasteful number, since it uses less digits than its factorization.

2213620351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125078 (or 125066 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2213620351104 in words is "two trillion, two hundred thirteen billion, six hundred twenty million, three hundred fifty-one thousand, one hundred four".