2161117504 has 56 divisors (see below), whose sum is σ = 5278128128. Its totient is φ = 854945280.

The previous prime is 2161117501. The next prime is 2161117507. The reversal of 2161117504 is 4057111612.

It is an interprime number because it is at equal distance from previous prime (2161117501) and next prime (2161117507).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161117501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179712 + ... + 191359.

It is an arithmetic number, because the mean of its divisors is an integer number (94252288).

Almost surely, 2^2161117504 is an apocalyptic number.

It is an amenable number.

2161117504 is an abundant number, since it is smaller than the sum of its proper divisors (3117010624).

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

2161117504 is a wasteful number, since it uses less digits than its factorization.

2161117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371103 (or 371093 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 2161117504 is about 46487.8210287383. The cubic root of 2161117504 is about 1292.8837005288.

The spelling of 2161117504 in words is "two billion, one hundred sixty-one million, one hundred seventeen thousand, five hundred four".