2117505120 has 96 divisors (see below), whose sum is σ = 6960183552. Its totient is φ = 540114432.

The previous prime is 2117505109. The next prime is 2117505121. The reversal of 2117505120 is 215057112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117505121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84862 + ... + 106941.

It is an arithmetic number, because the mean of its divisors is an integer number (72501912).

Almost surely, 2^2117505120 is an apocalyptic number.

2117505120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117505120 is an abundant number, since it is smaller than the sum of its proper divisors (4842678432).

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

2117505120 is a wasteful number, since it uses less digits than its factorization.

2117505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191844 (or 191836 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 2117505120 is about 46016.3570917994. The cubic root of 2117505120 is about 1284.1275287973.

The spelling of 2117505120 in words is "two billion, one hundred seventeen million, five hundred five thousand, one hundred twenty".