2840068224 has 384 divisors, whose sum is σ = 10083801600. Its totient is φ = 783820800.

The previous prime is 2840068219. The next prime is 2840068241. The reversal of 2840068224 is 4228600482.

It is a happy number.

2840068224 is a `hidden beast` number, since 28 + 400 + 6 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249394 + ... + 5249934.

It is an arithmetic number, because the mean of its divisors is an integer number (26259900).

Almost surely, 2^2840068224 is an apocalyptic number.

2840068224 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 2840068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041900800).

2840068224 is an abundant number, since it is smaller than the sum of its proper divisors (7243733376).

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

2840068224 is a wasteful number, since it uses less digits than its factorization.

2840068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2840068224 is about 53292.2904743266. The cubic root of 2840068224 is about 1416.1510898819.

It can be divided in two parts, 284006 and 8224, that added together give a triangular number (292230 = T₇₆₄).

The spelling of 2840068224 in words is "two billion, eight hundred forty million, sixty-eight thousand, two hundred twenty-four".