2827240473600 has 891 divisors, whose sum is σ = 10553320898679. Its totient is φ = 723153715200.

The previous prime is 2827240473539. The next prime is 2827240473647. The reversal of 2827240473600 is 63740427282.

The square root of 2827240473600 is 1681440.

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

2827240473600 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 240 + 47 + 360 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1438387651584 + 1388852822016 = 1199328^2 + 1178496^2 .

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 (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25019827144 + ... + 25019827256.

Almost surely, 2^{2827240473600} is an apocalyptic number.

2827240473600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2827240473600 is the 1681440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2827240473600

2827240473600 is an abundant number, since it is smaller than the sum of its proper divisors (7726080425079).

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

2827240473600 is a wasteful number, since it uses less digits than its factorization.

2827240473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2827240473600 in words is "two trillion, eight hundred twenty-seven billion, two hundred forty million, four hundred seventy-three thousand, six hundred".