2152320 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 534528.

The previous prime is 2152309. The next prime is 2152321. The reversal of 2152320 is 232512.

2152320 = 101² + 102² + ... + 195².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2152320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36451 + ... + 36509.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2^2152320 is an apocalyptic number.

2152320 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 2152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2152320 is an abundant number, since it is smaller than the sum of its proper divisors (5191680).

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

2152320 is a wasteful number, since it uses less digits than its factorization.

2152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2152320 is about 1467.0787299937. The cubic root of 2152320 is about 129.1126952224.

Adding to 2152320 its reverse (232512), we get a palindrome (2384832).

The spelling of 2152320 in words is "two million, one hundred fifty-two thousand, three hundred twenty".