2828472442020 has 72 divisors (see below), whose sum is σ = 8593696323576. Its totient is φ = 753028849152.

The previous prime is 2828472442009. The next prime is 2828472442049. The reversal of 2828472442020 is 202442748282.

2828472442020 is a `hidden beast` number, since 2 + 82 + 84 + 72 + 4 + 420 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 307312792164 + 2521159649856 = 554358^2 + 1587816^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12706737 + ... + 12927416.

It is an arithmetic number, because the mean of its divisors is an integer number (119356893383).

Almost surely, 2^{2828472442020} is an apocalyptic number.

2828472442020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828472442020 is an abundant number, since it is smaller than the sum of its proper divisors (5765223881556).

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

2828472442020 is a wasteful number, since it uses less digits than its factorization.

2828472442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634781 (or 25634776 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 2828472442020 in words is "two trillion, eight hundred twenty-eight billion, four hundred seventy-two million, four hundred forty-two thousand, twenty".