2782372512 has 96 divisors (see below), whose sum is σ = 7555935744. Its totient is φ = 895564800.

The previous prime is 2782372511. The next prime is 2782372513. The reversal of 2782372512 is 2152732872.

It is an interprime number because it is at equal distance from previous prime (2782372511) and next prime (2782372513).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2782372511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2014062 + ... + 2015442.

It is an arithmetic number, because the mean of its divisors is an integer number (78707664).

Almost surely, 2^2782372512 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 2782372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777967872).

2782372512 is an abundant number, since it is smaller than the sum of its proper divisors (4773563232).

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

2782372512 is a wasteful number, since it uses less digits than its factorization.

2782372512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 2782372512 is about 52748.1991351364. The cubic root of 2782372512 is about 1406.4957516660.

The spelling of 2782372512 in words is "two billion, seven hundred eighty-two million, three hundred seventy-two thousand, five hundred twelve".