2152080 has 180 divisors, whose sum is σ = 8545212. Its totient is φ = 483840.

The previous prime is 2152079. The next prime is 2152093. The reversal of 2152080 is 802512.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 1806336 = 588^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35250 + ... + 35310.

2^2152080 is an apocalyptic number.

2152080 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 2152080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272606).

2152080 is an abundant number, since it is smaller than the sum of its proper divisors (6393132).

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

2152080 is a wasteful number, since it uses less digits than its factorization.

2152080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2152080 is about 1466.9969325121. The cubic root of 2152080 is about 129.1078960291.

Adding to 2152080 its reverse (802512), we get a palindrome (2954592).

The spelling of 2152080 in words is "two million, one hundred fifty-two thousand, eighty".