2000142720 has 256 divisors, whose sum is σ = 7176312000. Its totient is φ = 532998144.

The previous prime is 2000142713. The next prime is 2000142743. The reversal of 2000142720 is 272410002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000142693 and 2000142702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398966 + ... + 1400394.

Almost surely, 2^2000142720 is an apocalyptic number.

2000142720 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 2000142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588156000).

2000142720 is an abundant number, since it is smaller than the sum of its proper divisors (5176169280).

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

2000142720 is an frugal number, since it uses more digits than its factorization.

2000142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2000142720 is about 44722.9551796390. The cubic root of 2000142720 is about 1259.9510185041.

Adding to 2000142720 its reverse (272410002), we get a palindrome (2272552722).

The spelling of 2000142720 in words is "two billion, one hundred forty-two thousand, seven hundred twenty".