2536752 has 40 divisors (see below), whose sum is σ = 6718320. Its totient is φ = 824320.

The previous prime is 2536733. The next prime is 2536753. The reversal of 2536752 is 2576352.

It is a super-2 number, since 2×2536752² = 12870221419008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2²⁰ + 5³ + 3⁷ + 6⁶ + 7 + 5⁸ + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (2536753) 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, 1324 + ... + 2612.

It is an arithmetic number, because the mean of its divisors is an integer number (167958).

2^2536752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2536752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359160).

2536752 is an abundant number, since it is smaller than the sum of its proper divisors (4181568).

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

2536752 is a wasteful number, since it uses less digits than its factorization.

2536752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1335 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2536752 is about 1592.7184308596. The cubic root of 2536752 is about 136.3827166836.

The spelling of 2536752 in words is "two million, five hundred thirty-six thousand, seven hundred fifty-two".