2045164616320 has 512 divisors, whose sum is σ = 6091851525120. Its totient is φ = 640471007232.

The previous prime is 2045164616293. The next prime is 2045164616359. The reversal of 2045164616320 is 236164615402.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1569580789 + ... + 1569582091.

It is an arithmetic number, because the mean of its divisors is an integer number (11898147510).

Almost surely, 2^{2045164616320} is an apocalyptic number.

2045164616320 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 2045164616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045925762560).

2045164616320 is an abundant number, since it is smaller than the sum of its proper divisors (4046686908800).

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

2045164616320 is a wasteful number, since it uses less digits than its factorization.

2045164616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2045164616320 in words is "two trillion, forty-five billion, one hundred sixty-four million, six hundred sixteen thousand, three hundred twenty".