2171117520 has 720 divisors, whose sum is σ = 9076669056. Its totient is φ = 479001600.

The previous prime is 2171117503. The next prime is 2171117537. The reversal of 2171117520 is 257111712.

2171117520 is a `hidden beast` number, since 21 + 7 + 1 + 117 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2171117503) and next prime (2171117537).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30579085 + ... + 30579155.

Almost surely, 2^2171117520 is an apocalyptic number.

2171117520 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 2171117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538334528).

2171117520 is an abundant number, since it is smaller than the sum of its proper divisors (6905551536).

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

2171117520 is a wasteful number, since it uses less digits than its factorization.

2171117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 2171117520 is about 46595.2521186440. The cubic root of 2171117520 is about 1294.8747949692.

The spelling of 2171117520 in words is "two billion, one hundred seventy-one million, one hundred seventeen thousand, five hundred twenty".