2020008412900 has 81 divisors (see below), whose sum is σ = 4407201890427. Its totient is φ = 803642908800.

The previous prime is 2020008412861. The next prime is 2020008412943. The reversal of 2020008412900 is 92148000202.

The square root of 2020008412900 is 1421270.

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

It can be written as a sum of positive squares in 4 ways, for example, as 140674504356 + 1879333908544 = 375066^2 + 1370888^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4420149472 + ... + 4420149928.

Almost surely, 2^{2020008412900} is an apocalyptic number.

2020008412900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2020008412900 is the 1421270-th square number.

It is an amenable number.

2020008412900 is an abundant number, since it is smaller than the sum of its proper divisors (2387193477527).

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

2020008412900 is an frugal number, since it uses more digits than its factorization.

2020008412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 2020008412900 in words is "two trillion, twenty billion, eight million, four hundred twelve thousand, nine hundred".