2536226352 has 240 divisors, whose sum is σ = 7955490816. Its totient is φ = 747840000.

The previous prime is 2536226347. The next prime is 2536226369.

2536226352 is a `hidden beast` number, since 25 + 3 + 622 + 6 + 3 + 5 + 2 = 666.

2536226352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (129600) is a multiple of the sum of its prime factors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13278577 + ... + 13278767.

Almost surely, 2^2536226352 is an apocalyptic number.

2536226352 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 2536226352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977745408).

2536226352 is an abundant number, since it is smaller than the sum of its proper divisors (5419264464).

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

2536226352 is a wasteful number, since it uses less digits than its factorization.

2536226352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2536226352 is about 50360.9605944922. The cubic root of 2536226352 is about 1363.7329594215.

The spelling of 2536226352 in words is "two billion, five hundred thirty-six million, two hundred twenty-six thousand, three hundred fifty-two".