2036790738144 has 144 divisors (see below), whose sum is σ = 5922686165760. Its totient is φ = 663662004480.

The previous prime is 2036790738133. The next prime is 2036790738163. The reversal of 2036790738144 is 4418370976302.

2036790738144 is a `hidden beast` number, since 20 + 367 + 90 + 7 + 38 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10884927 + ... + 11070465.

It is an arithmetic number, because the mean of its divisors is an integer number (41129765040).

Almost surely, 2^{2036790738144} is an apocalyptic number.

2036790738144 is a gapful number since it is divisible by the number (24) 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 2036790738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961343082880).

2036790738144 is an abundant number, since it is smaller than the sum of its proper divisors (3885895427616).

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

2036790738144 is a wasteful number, since it uses less digits than its factorization.

2036790738144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186413 (or 186402 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2036790738144 in words is "two trillion, thirty-six billion, seven hundred ninety million, seven hundred thirty-eight thousand, one hundred forty-four".