2819040480 has 72 divisors (see below), whose sum is σ = 9619980552. Its totient is φ = 751743744.

The previous prime is 2819040467. The next prime is 2819040491. The reversal of 2819040480 is 840409182.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 977394 + ... + 980273.

It is an arithmetic number, because the mean of its divisors is an integer number (133610841).

Almost surely, 2^2819040480 is an apocalyptic number.

2819040480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2819040480 is an abundant number, since it is smaller than the sum of its proper divisors (6800940072).

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

2819040480 is a wasteful number, since it uses less digits than its factorization.

2819040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957688 (or 1957677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2819040480 is about 53094.6370173109. The cubic root of 2819040480 is about 1412.6473877581.

The spelling of 2819040480 in words is "two billion, eight hundred nineteen million, forty thousand, four hundred eighty".