2782145072 has 80 divisors (see below), whose sum is σ = 6622909440. Its totient is φ = 1105519104.

The previous prime is 2782145071. The next prime is 2782145099. The reversal of 2782145072 is 2705412872.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2782145071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 86108 + ... + 113924.

It is an arithmetic number, because the mean of its divisors is an integer number (82786368).

Almost surely, 2^2782145072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311454720).

2782145072 is an abundant number, since it is smaller than the sum of its proper divisors (3840764368).

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

2782145072 is a wasteful number, since it uses less digits than its factorization.

2782145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27898 (or 27892 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 2782145072 is about 52746.0431880914. The cubic root of 2782145072 is about 1406.4574268061.

The spelling of 2782145072 in words is "two billion, seven hundred eighty-two million, one hundred forty-five thousand, seventy-two".