2045189165760 has 1008 divisors, whose sum is σ = 8316247080960. Its totient is φ = 476876574720.

The previous prime is 2045189165717. The next prime is 2045189165849. The reversal of 2045189165760 is 675619815402.

It is a happy number.

2045189165760 is a `hidden beast` number, since 2 + 0 + 4 + 51 + 8 + 9 + 16 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2045189165697 and 2045189165706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249683265 + ... + 249691455.

It is an arithmetic number, because the mean of its divisors is an integer number (8250245120).

Almost surely, 2^{2045189165760} is an apocalyptic number.

2045189165760 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 2045189165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158123540480).

2045189165760 is an abundant number, since it is smaller than the sum of its proper divisors (6271057915200).

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

2045189165760 is a wasteful number, since it uses less digits than its factorization.

2045189165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2045189165760 in words is "two trillion, forty-five billion, one hundred eighty-nine million, one hundred sixty-five thousand, seven hundred sixty".