2819386440 has 480 divisors, whose sum is σ = 10841212800. Its totient is φ = 655050240.

The previous prime is 2819386439. The next prime is 2819386441. The reversal of 2819386440 is 446839182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2819386439) and next prime (2819386441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2819386441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10403505 + ... + 10403775.

It is an arithmetic number, because the mean of its divisors is an integer number (22585860).

Almost surely, 2^2819386440 is an apocalyptic number.

2819386440 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 2819386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420606400).

2819386440 is an abundant number, since it is smaller than the sum of its proper divisors (8021826360).

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

2819386440 is a wasteful number, since it uses less digits than its factorization.

2819386440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2819386440 is about 53097.8948735258. The cubic root of 2819386440 is about 1412.7051733182.

The spelling of 2819386440 in words is "two billion, eight hundred nineteen million, three hundred eighty-six thousand, four hundred forty".