2783127440 has 80 divisors (see below), whose sum is σ = 6600547776. Its totient is φ = 1091059200.

The previous prime is 2783127421. The next prime is 2783127461. The reversal of 2783127440 is 447213872.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2783127394 and 2783127403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614419 + ... + 1616141.

Almost surely, 2^2783127440 is an apocalyptic number.

2783127440 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 2783127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300273888).

2783127440 is an abundant number, since it is smaller than the sum of its proper divisors (3817420336).

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

2783127440 is a wasteful number, since it uses less digits than its factorization.

2783127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2783127440 is about 52755.3546097455. The cubic root of 2783127440 is about 1406.6229461141.

The spelling of 2783127440 in words is "two billion, seven hundred eighty-three million, one hundred twenty-seven thousand, four hundred forty".