2036745636552 has 256 divisors, whose sum is σ = 6574166323200. Its totient is φ = 577409725440.

The previous prime is 2036745636551. The next prime is 2036745636571. The reversal of 2036745636552 is 2556365476302.

2036745636552 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 7 + 4 + 56 + 36 + 552 = 666.

It is a super-2 number, since 2×2036745636552² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2036745636551) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6594493 + ... + 6896435.

It is an arithmetic number, because the mean of its divisors is an integer number (25680337200).

Almost surely, 2^{2036745636552} is an apocalyptic number.

2036745636552 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 2036745636552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287083161600).

2036745636552 is an abundant number, since it is smaller than the sum of its proper divisors (4537420686648).

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

2036745636552 is a wasteful number, since it uses less digits than its factorization.

2036745636552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302153 (or 302143 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 2036745636552 in words is "two trillion, thirty-six billion, seven hundred forty-five million, six hundred thirty-six thousand, five hundred fifty-two".