2045355205140 has 576 divisors, whose sum is σ = 7039867161600. Its totient is φ = 476921364480.

The previous prime is 2045355205129. The next prime is 2045355205141. The reversal of 2045355205140 is 415025535402.

2045355205140 is a `hidden beast` number, since 2 + 0 + 4 + 53 + 552 + 0 + 51 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2045355205095 and 2045355205104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045355205141) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3780693270 + ... + 3780693810.

It is an arithmetic number, because the mean of its divisors is an integer number (12221991600).

Almost surely, 2^{2045355205140} is an apocalyptic number.

2045355205140 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 2045355205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519933580800).

2045355205140 is an abundant number, since it is smaller than the sum of its proper divisors (4994511956460).

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

2045355205140 is a wasteful number, since it uses less digits than its factorization.

2045355205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2045355205140 in words is "two trillion, forty-five billion, three hundred fifty-five million, two hundred five thousand, one hundred forty".