2515520 has 56 divisors (see below), whose sum is σ = 6851904. Its totient is φ = 861696.

The previous prime is 2515517. The next prime is 2515523. The reversal of 2515520 is 255152.

It is an interprime number because it is at equal distance from previous prime (2515517) and next prime (2515523).

It is a tau number, because it is divible by the number of its divisors (56).

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 = 2515492 and 2515501.

It is not an unprimeable number, because it can be changed into a prime (2515523) by changing a digit.

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, 1679 + ... + 2801.

2^2515520 is an apocalyptic number.

2515520 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 2515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425952).

2515520 is an abundant number, since it is smaller than the sum of its proper divisors (4336384).

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

2515520 is a wasteful number, since it uses less digits than its factorization.

2515520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 2515520 is about 1586.0390915737. The cubic root of 2515520 is about 136.0011533928.

The spelling of 2515520 in words is "two million, five hundred fifteen thousand, five hundred twenty".