2117520 has 120 divisors (see below), whose sum is σ = 7573176. Its totient is φ = 528384.

The previous prime is 2117513. The next prime is 2117539. The reversal of 2117520 is 257112.

2117520 = T₇₆ + T₇₇ + ... + T₂₃₅.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 1218816 = 948^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2117493 and 2117502.

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, 12154 + ... + 12326.

2^2117520 is an apocalyptic number.

2117520 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 2117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786588).

2117520 is an abundant number, since it is smaller than the sum of its proper divisors (5455656).

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

2117520 is a wasteful number, since it uses less digits than its factorization.

2117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2117520 is about 1455.1700931506. The cubic root of 2117520 is about 128.4130536704.

The spelling of 2117520 in words is "two million, one hundred seventeen thousand, five hundred twenty".