2824854912 has 640 divisors, whose sum is σ = 10236948480. Its totient is φ = 763084800.

The previous prime is 2824854889. The next prime is 2824854931. The reversal of 2824854912 is 2194584282.

2824854912 is a `hidden beast` number, since 2 + 82 + 4 + 85 + 491 + 2 = 666.

2824854912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60103273 + ... + 60103319.

It is an arithmetic number, because the mean of its divisors is an integer number (15995232).

Almost surely, 2^2824854912 is an apocalyptic number.

2824854912 is a gapful number since it is divisible by the number (22) 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 2824854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118474240).

2824854912 is an abundant number, since it is smaller than the sum of its proper divisors (7412093568).

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

2824854912 is a wasteful number, since it uses less digits than its factorization.

2824854912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2824854912 is about 53149.3641730548. The cubic root of 2824854912 is about 1413.6179427622.

The spelling of 2824854912 in words is "two billion, eight hundred twenty-four million, eight hundred fifty-four thousand, nine hundred twelve".