2036421566784 has 896 divisors, whose sum is σ = 6871898880000. Its totient is φ = 590832506880.

The previous prime is 2036421566761. The next prime is 2036421566833. The reversal of 2036421566784 is 4876651246302.

2036421566784 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 4 + 2 + 1 + 566 + 78 + 4 = 666.

It is a super-3 number, since 3×2036421566784³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2036421566784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5835018642 + ... + 5835018990.

It is an arithmetic number, because the mean of its divisors is an integer number (7669530000).

Almost surely, 2^{2036421566784} is an apocalyptic number.

2036421566784 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 2036421566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435949440000).

2036421566784 is an abundant number, since it is smaller than the sum of its proper divisors (4835477313216).

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

2036421566784 is a wasteful number, since it uses less digits than its factorization.

2036421566784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2036421566784 in words is "two trillion, thirty-six billion, four hundred twenty-one million, five hundred sixty-six thousand, seven hundred eighty-four".