2508320 has 48 divisors (see below), whose sum is σ = 6046488. Its totient is φ = 983040.

The previous prime is 2508313. The next prime is 2508347. The reversal of 2508320 is 238052.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 446224 = 1436^2 + 668^2 .

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 = 2508292 and 2508301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9632 + ... + 9888.

2^2508320 is an apocalyptic number.

2508320 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 2508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023244).

2508320 is an abundant number, since it is smaller than the sum of its proper divisors (3538168).

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

2508320 is a wasteful number, since it uses less digits than its factorization.

2508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2508320 is about 1583.7676597279. The cubic root of 2508320 is about 135.8712738141.

The spelling of 2508320 in words is "two million, five hundred eight thousand, three hundred twenty".