2782315008 has 480 divisors, whose sum is σ = 9651882240. Its totient is φ = 791285760.

The previous prime is 2782314959. The next prime is 2782315009. The reversal of 2782315008 is 8005132872.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782315009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26002891 + ... + 26002997.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^2782315008 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 2782315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2782315008 is an abundant number, since it is smaller than the sum of its proper divisors (6869567232).

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

2782315008 is a wasteful number, since it uses less digits than its factorization.

2782315008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2782315008 is about 52747.6540520998. The cubic root of 2782315008 is about 1406.4860621309.

The spelling of 2782315008 in words is "two billion, seven hundred eighty-two million, three hundred fifteen thousand, eight".