2563136 has 28 divisors (see below), whose sum is σ = 5265420. Its totient is φ = 1236480.

The previous prime is 2563117. The next prime is 2563139. The reversal of 2563136 is 6313652.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 1308736 = 1120^2 + 1144^2 .

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 not an unprimeable number, because it can be changed into a prime (2563139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1166 + ... + 2546.

2^2563136 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 2563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632710).

2563136 is an abundant number, since it is smaller than the sum of its proper divisors (2702284).

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

2563136 is a wasteful number, since it uses less digits than its factorization.

2563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its digits is 3240, while the sum is 26.

The square root of 2563136 is about 1600.9797000587. The cubic root of 2563136 is about 136.8539121547.

Adding to 2563136 its reverse (6313652), we get a palindrome (8876788).

It can be divided in two parts, 256 and 3136, that multiplied together give a square (802816 = 896²).

The spelling of 2563136 in words is "two million, five hundred sixty-three thousand, one hundred thirty-six".