2652320 has 72 divisors (see below), whose sum is σ = 6937812. Its totient is φ = 957440.

The previous prime is 2652313. The next prime is 2652367. The reversal of 2652320 is 232562.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2650384 + 1936 = 1628^2 + 44^2 .

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2652292 and 2652301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19292 + ... + 19428.

2^2652320 is an apocalyptic number.

2652320 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 2652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468906).

2652320 is an abundant number, since it is smaller than the sum of its proper divisors (4285492).

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

2652320 is a wasteful number, since it uses less digits than its factorization.

2652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2652320 is about 1628.5944860523. The cubic root of 2652320 is about 138.4231219792.

Adding to 2652320 its reverse (232562), we get a palindrome (2884882).

The spelling of 2652320 in words is "two million, six hundred fifty-two thousand, three hundred twenty".