2823434496 has 243 divisors, whose sum is σ = 8664537973. Its totient is φ = 918190080.

The previous prime is 2823434479. The next prime is 2823434533. The reversal of 2823434496 is 6944343282.

The square root of 2823434496 is 53136.

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

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 2687385600 = 11664^2 + 51840^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a nude number because it is divisible by every one of its digits.

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, 68864236 + ... + 68864276.

Almost surely, 2^2823434496 is an apocalyptic number.

2823434496 is the 53136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2823434496

2823434496 is an abundant number, since it is smaller than the sum of its proper divisors (5841103477).

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

2823434496 is an frugal number, since it uses more digits than its factorization.

2823434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 46 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The cubic root of 2823434496 is about 1413.3809675018.

The spelling of 2823434496 in words is "two billion, eight hundred twenty-three million, four hundred thirty-four thousand, four hundred ninety-six".