2536352 has 72 divisors (see below), whose sum is σ = 6271776. Its totient is φ = 988416.

The previous prime is 2536343. The next prime is 2536361.

2536352 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2536343) and next prime (2536361).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁴ + 3³ + 6⁶ + 3⁵ + 5⁸ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37823 + ... + 37889.

It is an arithmetic number, because the mean of its divisors is an integer number (87108).

2^2536352 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 2536352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135888).

2536352 is an abundant number, since it is smaller than the sum of its proper divisors (3735424).

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

2536352 is a wasteful number, since it uses less digits than its factorization.

2536352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its digits is 5400, while the sum is 26.

The square root of 2536352 is about 1592.5928544358. The cubic root of 2536352 is about 136.3755479426.

The spelling of 2536352 in words is "two million, five hundred thirty-six thousand, three hundred fifty-two".