2030045958720 has 672 divisors, whose sum is σ = 8192930121600. Its totient is φ = 470301769728.

The previous prime is 2030045958709. The next prime is 2030045958751. The reversal of 2030045958720 is 278595400302.

2030045958720 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 0 + 45 + 9 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32429211 + ... + 32491749.

It is an arithmetic number, because the mean of its divisors is an integer number (12191860300).

Almost surely, 2^{2030045958720} is an apocalyptic number.

2030045958720 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 2030045958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096465060800).

2030045958720 is an abundant number, since it is smaller than the sum of its proper divisors (6162884162880).

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

2030045958720 is a wasteful number, since it uses less digits than its factorization.

2030045958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62612 (or 62579 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2030045958720 in words is "two trillion, thirty billion, forty-five million, nine hundred fifty-eight thousand, seven hundred twenty".