2045517734160 has 200 divisors, whose sum is σ = 7105745560320. Its totient is φ = 545367022848.

The previous prime is 2045517734153. The next prime is 2045517734177. The reversal of 2045517734160 is 614377155402.

2045517734160 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 517 + 73 + 4 + 1 + 60 = 666.

It is a super-4 number, since 4×2045517734160⁴ (a number of 50 digits) contains 4444 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 37420609 + ... + 37475231.

Almost surely, 2^{2045517734160} is an apocalyptic number.

2045517734160 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 2045517734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552872780160).

2045517734160 is an abundant number, since it is smaller than the sum of its proper divisors (5060227826160).

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

2045517734160 is a wasteful number, since it uses less digits than its factorization.

2045517734160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60427 (or 60412 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2045517734160 in words is "two trillion, forty-five billion, five hundred seventeen million, seven hundred thirty-four thousand, one hundred sixty".