2032620490000 has 225 divisors, whose sum is σ = 5034497150683. Its totient is φ = 794742208000.

The previous prime is 2032620489961. The next prime is 2032620490001. The reversal of 2032620490000 is 940262302.

The square root of 2032620490000 is 1425700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 1420320499984 + 612299990016 = 1191772^2 + 782496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2032620490001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7556209866 + ... + 7556210134.

Almost surely, 2^{2032620490000} is an apocalyptic number.

2032620490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2032620490000 is the 1425700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032620490000

2032620490000 is an abundant number, since it is smaller than the sum of its proper divisors (3001876660683).

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

2032620490000 is an frugal number, since it uses more digits than its factorization.

2032620490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 2032620490000 in words is "two trillion, thirty-two billion, six hundred twenty million, four hundred ninety thousand".