2506320 has 90 divisors (see below), whose sum is σ = 8562138. Its totient is φ = 657024.

The previous prime is 2506313. The next prime is 2506321. The reversal of 2506320 is 236052.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 501264 = 1416^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a junction number, because it is equal to n+sod(n) for n = 2506293 and 2506302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42451 + ... + 42509.

2^2506320 is an apocalyptic number.

2506320 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 2506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281069).

2506320 is an abundant number, since it is smaller than the sum of its proper divisors (6055818).

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

2506320 is a wasteful number, since it uses less digits than its factorization.

2506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2506320 is about 1583.1361280699. The cubic root of 2506320 is about 135.8351520535.

The spelling of 2506320 in words is "two million, five hundred six thousand, three hundred twenty".