2652360 has 96 divisors (see below), whose sum is σ = 8579520. Its totient is φ = 654720.

The previous prime is 2652313. The next prime is 2652367. The reversal of 2652360 is 632562.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁰ + 6² + 5⁴ + 2²⁰ + 3¹³ + 6⁵ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2652360.

It is not an unprimeable number, because it can be changed into a prime (2652367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85545 + ... + 85575.

It is an arithmetic number, because the mean of its divisors is an integer number (89370).

2^2652360 is an apocalyptic number.

2652360 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 2652360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289760).

2652360 is an abundant number, since it is smaller than the sum of its proper divisors (5927160).

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

2652360 is a wasteful number, since it uses less digits than its factorization.

2652360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2652360 is about 1628.6067665339. The cubic root of 2652360 is about 138.4238178350.

The spelling of 2652360 in words is "two million, six hundred fifty-two thousand, three hundred sixty".