2838472320 has 512 divisors, whose sum is σ = 10575360000. Its totient is φ = 642318336.

The previous prime is 2838472309. The next prime is 2838472321. The reversal of 2838472320 is 232748382.

It is a super-2 number, since 2×2838472320² = 16113850222812364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2838472321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14263581 + ... + 14263779.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^2838472320 is an apocalyptic number.

2838472320 is a gapful number since it is divisible by the number (20) 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 2838472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

2838472320 is an abundant number, since it is smaller than the sum of its proper divisors (7736887680).

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

2838472320 is a wasteful number, since it uses less digits than its factorization.

2838472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2838472320 is about 53277.3152476737. The cubic root of 2838472320 is about 1415.8857835034.

The spelling of 2838472320 in words is "two billion, eight hundred thirty-eight million, four hundred seventy-two thousand, three hundred twenty".