2036284630020 has 336 divisors, whose sum is σ = 6681047229360. Its totient is φ = 520443076608.

The previous prime is 2036284629961. The next prime is 2036284630031. The reversal of 2036284630020 is 200364826302.

2036284630020 is a `hidden beast` number, since 2 + 0 + 3 + 628 + 4 + 6 + 3 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 271207642176 + 1765076987844 = 520776^2 + 1328562^2 .

It is a super-3 number, since 3×2036284630020³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57908764 + ... + 57943916.

It is an arithmetic number, because the mean of its divisors is an integer number (19884069135).

Almost surely, 2^{2036284630020} is an apocalyptic number.

2036284630020 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 2036284630020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340523614680).

2036284630020 is an abundant number, since it is smaller than the sum of its proper divisors (4644762599340).

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

2036284630020 is a wasteful number, since it uses less digits than its factorization.

2036284630020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35346 (or 35329 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2036284630020 in words is "two trillion, thirty-six billion, two hundred eighty-four million, six hundred thirty thousand, twenty".