2536886352 has 320 divisors, whose sum is σ = 9043421184. Its totient is φ = 591390720.

The previous prime is 2536886329. The next prime is 2536886411.

2536886352 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777063 + ... + 1778489.

Almost surely, 2^2536886352 is an apocalyptic number.

2536886352 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 2536886352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521710592).

2536886352 is an abundant number, since it is smaller than the sum of its proper divisors (6506534832).

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

2536886352 is a wasteful number, since it uses less digits than its factorization.

2536886352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 2536886352 is about 50367.5128629556. The cubic root of 2536886352 is about 1363.8512435131.

It can be divided in two parts, 2536 and 886352, that added together give a palindrome (888888).

The spelling of 2536886352 in words is "two billion, five hundred thirty-six million, eight hundred eighty-six thousand, three hundred fifty-two".