2215413101664 has 144 divisors (see below), whose sum is σ = 7513140241152. Its totient is φ = 605454499584.

The previous prime is 2215413101617. The next prime is 2215413101683. The reversal of 2215413101664 is 4661013145122.

2215413101664 is a `hidden beast` number, since 2 + 2 + 1 + 541 + 3 + 101 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2215413101664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23843094 + ... + 23935829.

It is an arithmetic number, because the mean of its divisors is an integer number (52174585008).

Almost surely, 2^{2215413101664} is an apocalyptic number.

2215413101664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2215413101664 is an abundant number, since it is smaller than the sum of its proper divisors (5297727139488).

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

2215413101664 is a wasteful number, since it uses less digits than its factorization.

2215413101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47778969 (or 47778958 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 2215413101664 its reverse (4661013145122), we get a palindrome (6876426246786).

The spelling of 2215413101664 in words is "two trillion, two hundred fifteen billion, four hundred thirteen million, one hundred one thousand, six hundred sixty-four".