2036831209920 has 2016 divisors, whose sum is σ = 8332489751040. Its totient is φ = 472800706560.

The previous prime is 2036831209901. The next prime is 2036831209969. The reversal of 2036831209920 is 299021386302.

It is a happy number.

It is a super-2 number, since 2×2036831209920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28687763485 + ... + 28687763555.

It is an arithmetic number, because the mean of its divisors is an integer number (4133179440).

Almost surely, 2^{2036831209920} is an apocalyptic number.

2036831209920 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 2036831209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166244875520).

2036831209920 is an abundant number, since it is smaller than the sum of its proper divisors (6295658541120).

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

2036831209920 is a wasteful number, since it uses less digits than its factorization.

2036831209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2036831209920 in words is "two trillion, thirty-six billion, eight hundred thirty-one million, two hundred nine thousand, nine hundred twenty".