2782817505 has 64 divisors (see below), whose sum is σ = 5363581440. Its totient is φ = 1360800000.

The previous prime is 2782817489. The next prime is 2782817537. The reversal of 2782817505 is 5057182872.

It is not a de Polignac number, because 2782817505 - 2⁴ = 2782817489 is a prime.

It is a super-2 number, since 2×2782817505² = 15488146532268850050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259755 + ... + 270255.

It is an arithmetic number, because the mean of its divisors is an integer number (83805960).

Almost surely, 2^2782817505 is an apocalyptic number.

It is an amenable number.

2782817505 is a deficient number, since it is larger than the sum of its proper divisors (2580763935).

2782817505 is a wasteful number, since it uses less digits than its factorization.

2782817505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 2782817505 is about 52752.4170536289. The cubic root of 2782817505 is about 1406.5707293332.

The spelling of 2782817505 in words is "two billion, seven hundred eighty-two million, eight hundred seventeen thousand, five hundred five".