2117253120 has 192 divisors, whose sum is σ = 6942892320. Its totient is φ = 550830080.

The previous prime is 2117253107. The next prime is 2117253121. The reversal of 2117253120 is 213527112.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1640 × 984 × 1312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117253121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51640300 + ... + 51640340.

Almost surely, 2^2117253120 is an apocalyptic number.

2117253120 is a gapful number since it is divisible by the number (20) 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 2117253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471446160).

2117253120 is an abundant number, since it is smaller than the sum of its proper divisors (4825639200).

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

2117253120 is an frugal number, since it uses more digits than its factorization.

2117253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2117253120 is about 46013.6188535525. The cubic root of 2117253120 is about 1284.0765863034.

The spelling of 2117253120 in words is "two billion, one hundred seventeen million, two hundred fifty-three thousand, one hundred twenty".