2782820517 has 16 divisors (see below), whose sum is σ = 3767691648. Its totient is φ = 1826668800.

The previous prime is 2782820501. The next prime is 2782820527. The reversal of 2782820517 is 7150282872.

It is not a de Polignac number, because 2782820517 - 2⁴ = 2782820501 is a prime.

It is a super-2 number, since 2×2782820517² = 15488180059672294578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782820527) 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, 121048 + ... + 142190.

It is an arithmetic number, because the mean of its divisors is an integer number (235480728).

Almost surely, 2^2782820517 is an apocalyptic number.

It is an amenable number.

2782820517 is a deficient number, since it is larger than the sum of its proper divisors (984871131).

2782820517 is a wasteful number, since it uses less digits than its factorization.

2782820517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21820.

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 2782820517 is about 52752.4456020761. The cubic root of 2782820517 is about 1406.5712368033.

The spelling of 2782820517 in words is "two billion, seven hundred eighty-two million, eight hundred twenty thousand, five hundred seventeen".