2536512 has 56 divisors (see below), whose sum is σ = 7327392. Its totient is φ = 768000.

The previous prime is 2536483. The next prime is 2536517. The reversal of 2536512 is 2156352.

It is a super-2 number, since 2×2536512² = 12867786252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2³ + 5 + 3¹⁰ + 6² + 5⁹ + 1 + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2536517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512 + ... + 2712.

2^2536512 is an apocalyptic number.

2536512 is a gapful number since it is divisible by the number (22) 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 2536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663696).

2536512 is an abundant number, since it is smaller than the sum of its proper divisors (4790880).

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

2536512 is a wasteful number, since it uses less digits than its factorization.

2536512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1217 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 2536512 is about 1592.6430861935. The cubic root of 2536512 is about 136.3784155295.

The spelling of 2536512 in words is "two million, five hundred thirty-six thousand, five hundred twelve".