2036534878560 has 2304 divisors, whose sum is σ = 9052607692800. Its totient is φ = 374617571328.

The previous prime is 2036534878529. The next prime is 2036534878619. The reversal of 2036534878560 is 658784356302.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2036534878560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7196236179 + ... + 7196236461.

It is an arithmetic number, because the mean of its divisors is an integer number (3929083200).

Almost surely, 2^{2036534878560} is an apocalyptic number.

2036534878560 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 2036534878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526303846400).

2036534878560 is an abundant number, since it is smaller than the sum of its proper divisors (7016072814240).

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

2036534878560 is a wasteful number, since it uses less digits than its factorization.

2036534878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 2036534878560 in words is "two trillion, thirty-six billion, five hundred thirty-four million, eight hundred seventy-eight thousand, five hundred sixty".