2001420576 has 240 divisors, whose sum is σ = 6204817080. Its totient is φ = 632033280.

The previous prime is 2001420571. The next prime is 2001420607. The reversal of 2001420576 is 6750241002.

It can be written as a sum of positive squares in 4 ways, for example, as 1850720400 + 150700176 = 43020^2 + 12276^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001420571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3931810 + ... + 3932318.

Almost surely, 2^2001420576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102408540).

2001420576 is an abundant number, since it is smaller than the sum of its proper divisors (4203396504).

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

2001420576 is a wasteful number, since it uses less digits than its factorization.

2001420576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2001420576 is about 44737.2392532217. The cubic root of 2001420576 is about 1260.2192815635.

Adding to 2001420576 its reverse (6750241002), we get a palindrome (8751661578).

The spelling of 2001420576 in words is "two billion, one million, four hundred twenty thousand, five hundred seventy-six".