2099520 has 126 divisors (see below), whose sum is σ = 7498842. Its totient is φ = 559872.

The previous prime is 2099507. The next prime is 2099521. The reversal of 2099520 is 259902.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 419904 = 1296^2 + 648^2 .

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099521) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419902 + ... + 419906.

2^2099520 is an apocalyptic number.

2099520 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 2099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749421).

2099520 is an abundant number, since it is smaller than the sum of its proper divisors (5399322).

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

2099520 is an frugal number, since it uses more digits than its factorization.

2099520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2099520 is about 1448.9720494199. The cubic root of 2099520 is about 128.0481589616.

Multiplying 2099520 by its product of nonzero digits (1620), we get a square (3401222400 = 58320²).

2099520 divided by its product of nonzero digits (1620) gives a 4-th power (1296 = 6⁴).

The spelling of 2099520 in words is "two million, ninety-nine thousand, five hundred twenty".