2823623424 has 216 divisors, whose sum is σ = 8477318304. Its totient is φ = 903168000.

The previous prime is 2823623419. The next prime is 2823623441. The reversal of 2823623424 is 4243263282.

2823623424 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 623 + 4 + 24 = 666.

It is a super-2 number, since 2×2823623424² = 15945698481122967552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6706734 + ... + 6707154.

It is an arithmetic number, because the mean of its divisors is an integer number (39246844).

Almost surely, 2^2823623424 is an apocalyptic number.

2823623424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2823623424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238659152).

2823623424 is an abundant number, since it is smaller than the sum of its proper divisors (5653694880).

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

2823623424 is a wasteful number, since it uses less digits than its factorization.

2823623424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 538 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2823623424 is about 53137.7777480391. Note that the first 4 decimals coincide. The cubic root of 2823623424 is about 1413.4124919075.

The spelling of 2823623424 in words is "two billion, eight hundred twenty-three million, six hundred twenty-three thousand, four hundred twenty-four".