2220817759104 has 128 divisors (see below), whose sum is σ = 7096598265600. Its totient is φ = 601123590144.

The previous prime is 2220817759063. The next prime is 2220817759117. The reversal of 2220817759104 is 4019577180222.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21690957 + ... + 21793100.

It is an arithmetic number, because the mean of its divisors is an integer number (55442173950).

Almost surely, 2^{2220817759104} is an apocalyptic number.

2220817759104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220817759104 is an abundant number, since it is smaller than the sum of its proper divisors (4875780506496).

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

2220817759104 is a wasteful number, since it uses less digits than its factorization.

2220817759104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43484100 (or 43484088 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 2220817759104 in words is "two trillion, two hundred twenty billion, eight hundred seventeen million, seven hundred fifty-nine thousand, one hundred four".