2809472117904 has 135 divisors (see below), whose sum is σ = 8220689745177. Its totient is φ = 895626217728.

The previous prime is 2809472117861. The next prime is 2809472117911. The reversal of 2809472117904 is 4097112749082.

The square root of 2809472117904 is 1676148.

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

2809472117904 is a `hidden beast` number, since 2 + 80 + 9 + 472 + 1 + 1 + 7 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2549323155600 + 260148962304 = 1596660^2 + 510048^2 .

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 26 ways as a sum of consecutive naturals, for example, 462613812 + ... + 462619884.

Almost surely, 2^{2809472117904} is an apocalyptic number.

2809472117904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2809472117904 is the 1676148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809472117904

2809472117904 is an abundant number, since it is smaller than the sum of its proper divisors (5411217627273).

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

2809472117904 is an frugal number, since it uses more digits than its factorization.

2809472117904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2809472117904 in words is "two trillion, eight hundred nine billion, four hundred seventy-two million, one hundred seventeen thousand, nine hundred four".