2782075340 has 96 divisors (see below), whose sum is σ = 6499422720. Its totient is φ = 991872000.

The previous prime is 2782075339. The next prime is 2782075349. The reversal of 2782075340 is 435702872.

2782075340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2782075340² = 15479886394872231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2782075294 and 2782075303.

It is not an unprimeable number, because it can be changed into a prime (2782075349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2756756 + ... + 2757764.

It is an arithmetic number, because the mean of its divisors is an integer number (67702320).

Almost surely, 2^2782075340 is an apocalyptic number.

2782075340 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 2782075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249711360).

2782075340 is an abundant number, since it is smaller than the sum of its proper divisors (3717347380).

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

2782075340 is a wasteful number, since it uses less digits than its factorization.

2782075340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 2782075340 is about 52745.3821675415. The cubic root of 2782075340 is about 1406.4456761717.

The spelling of 2782075340 in words is "two billion, seven hundred eighty-two million, seventy-five thousand, three hundred forty".