2819475240 has 256 divisors, whose sum is σ = 9118310400. Its totient is φ = 695844864.

The previous prime is 2819475187. The next prime is 2819475257. The reversal of 2819475240 is 425749182.

It is a junction number, because it is equal to n+sod(n) for n = 2819475192 and 2819475201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14608584 + ... + 14608776.

It is an arithmetic number, because the mean of its divisors is an integer number (35618400).

Almost surely, 2^2819475240 is an apocalyptic number.

2819475240 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 2819475240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559155200).

2819475240 is an abundant number, since it is smaller than the sum of its proper divisors (6298835160).

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

2819475240 is a wasteful number, since it uses less digits than its factorization.

2819475240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2819475240 is about 53098.7310582842. The cubic root of 2819475240 is about 1412.7200047842.

The spelling of 2819475240 in words is "two billion, eight hundred nineteen million, four hundred seventy-five thousand, two hundred forty".