2036226816000 has 3072 divisors, whose sum is σ = 9066542284800. Its totient is φ = 445906944000.

The previous prime is 2036226815989. The next prime is 2036226816053. The reversal of 2036226816000 is 6186226302.

2036226816000 is a `hidden beast` number, since 20 + 3 + 6 + 2 + 26 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47354111979 + ... + 47354112021.

It is an arithmetic number, because the mean of its divisors is an integer number (2951348400).

Almost surely, 2^{2036226816000} is an apocalyptic number.

2036226816000 is a gapful number since it is divisible by the number (20) 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 2036226816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533271142400).

2036226816000 is an abundant number, since it is smaller than the sum of its proper divisors (7030315468800).

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

2036226816000 is a wasteful number, since it uses less digits than its factorization.

2036226816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2036226816000 in words is "two trillion, thirty-six billion, two hundred twenty-six million, eight hundred sixteen thousand".