2036361648384 has 432 divisors, whose sum is σ = 6968245531520. Its totient is φ = 581012766720.

The previous prime is 2036361648263. The next prime is 2036361648421. The reversal of 2036361648384 is 4838461636302.

2036361648384 is a `hidden beast` number, since 20 + 3 + 6 + 3 + 61 + 6 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2036361648384² (a number of 25 digits) contains 22 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 2036361648384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360990204 + ... + 360995844.

Almost surely, 2^{2036361648384} is an apocalyptic number.

2036361648384 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 2036361648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484122765760).

2036361648384 is an abundant number, since it is smaller than the sum of its proper divisors (4931883883136).

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

2036361648384 is an frugal number, since it uses more digits than its factorization.

2036361648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508 (or 6482 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2036361648384 in words is "two trillion, thirty-six billion, three hundred sixty-one million, six hundred forty-eight thousand, three hundred eighty-four".