2535520 has 96 divisors (see below), whose sum is σ = 6858432. Its totient is φ = 878592.

The previous prime is 2535487. The next prime is 2535527. The reversal of 2535520 is 255352.

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁴ + 3¹⁰ + 5⁸ + 5⁹ + 2¹⁷ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2535491 and 2535500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535527) 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, 47814 + ... + 47866.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

2^2535520 is an apocalyptic number.

2535520 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 2535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216).

2535520 is an abundant number, since it is smaller than the sum of its proper divisors (4322912).

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

2535520 is a wasteful number, since it uses less digits than its factorization.

2535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 2535520 is about 1592.3316237518. The cubic root of 2535520 is about 136.3606345467.

The spelling of 2535520 in words is "two million, five hundred thirty-five thousand, five hundred twenty".