2045509053120 has 448 divisors, whose sum is σ = 7779318960000. Its totient is φ = 502983032832.

The previous prime is 2045509053113. The next prime is 2045509053193. The reversal of 2045509053120 is 213509055402.

It is a happy number.

2045509053120 is a `hidden beast` number, since 2 + 0 + 4 + 550 + 90 + 5 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113321856 + ... + 113339904.

It is an arithmetic number, because the mean of its divisors is an integer number (17364551250).

Almost surely, 2^{2045509053120} is an apocalyptic number.

2045509053120 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 2045509053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889659480000).

2045509053120 is an abundant number, since it is smaller than the sum of its proper divisors (5733809906880).

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

2045509053120 is a wasteful number, since it uses less digits than its factorization.

2045509053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19097 (or 19081 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2045509053120 in words is "two trillion, forty-five billion, five hundred nine million, fifty-three thousand, one hundred twenty".