2115520 has 56 divisors (see below), whose sum is σ = 5504688. Its totient is φ = 768000.

The previous prime is 2115511. The next prime is 2115523. The reversal of 2115520 is 255112.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2115494 and 2115503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115523) 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, 3220 + ... + 3820.

It is an arithmetic number, because the mean of its divisors is an integer number (98298).

2^2115520 is an apocalyptic number.

2115520 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 2115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752344).

2115520 is an abundant number, since it is smaller than the sum of its proper divisors (3389168).

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

2115520 is a wasteful number, since it uses less digits than its factorization.

2115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2115520 is about 1454.4827259201. The cubic root of 2115520 is about 128.3726121779.

The spelling of 2115520 in words is "two million, one hundred fifteen thousand, five hundred twenty".