2045120063360 has 128 divisors (see below), whose sum is σ = 5335621705440. Its totient is φ = 743395368960.

The previous prime is 2045120063333. The next prime is 2045120063369. The reversal of 2045120063360 is 633600215402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2045120063360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045120063369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18791822 + ... + 18900338.

Almost surely, 2^{2045120063360} is an apocalyptic number.

2045120063360 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 2045120063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667810852720).

2045120063360 is an abundant number, since it is smaller than the sum of its proper divisors (3290501642080).

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

2045120063360 is a wasteful number, since it uses less digits than its factorization.

2045120063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111224 (or 111212 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 2045120063360 its reverse (633600215402), we get a palindrome (2678720278762).

The spelling of 2045120063360 in words is "two trillion, forty-five billion, one hundred twenty million, sixty-three thousand, three hundred sixty".