2819440640 has 120 divisors (see below), whose sum is σ = 6844895232. Its totient is φ = 1114767360.

The previous prime is 2819440621. The next prime is 2819440699. The reversal of 2819440640 is 460449182.

It is a junction number, because it is equal to n+sod(n) for n = 2819440594 and 2819440603.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10403705 + ... + 10403975.

Almost surely, 2^2819440640 is an apocalyptic number.

2819440640 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 2819440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422447616).

2819440640 is an abundant number, since it is smaller than the sum of its proper divisors (4025454592).

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

2819440640 is an equidigital number, since it uses as much as digits as its factorization.

2819440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 2819440640 is about 53098.4052491221. The cubic root of 2819440640 is about 1412.7142258941.

The spelling of 2819440640 in words is "two billion, eight hundred nineteen million, four hundred forty thousand, six hundred forty".