2513632 has 48 divisors (see below), whose sum is σ = 5573232. Its totient is φ = 1105920.

The previous prime is 2513617. The next prime is 2513653. The reversal of 2513632 is 2363152.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2¹² + 5⁸ + 1 + 3 + 6⁸ + 3¹¹ + 2¹⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12928 + ... + 13120.

It is an arithmetic number, because the mean of its divisors is an integer number (116109).

2^2513632 is an apocalyptic number.

2513632 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 2513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786616).

2513632 is an abundant number, since it is smaller than the sum of its proper divisors (3059600).

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

2513632 is a wasteful number, since it uses less digits than its factorization.

2513632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2513632 is about 1585.4437864522. The cubic root of 2513632 is about 135.9671200791.

Adding to 2513632 its reverse (2363152), we get a palindrome (4876784).

It can be divided in two parts, 251 and 3632, that added together give a palindrome (3883).

The spelling of 2513632 in words is "two million, five hundred thirteen thousand, six hundred thirty-two".