2416787828 has 24 divisors (see below), whose sum is σ = 5205389952. Its totient is φ = 956091744.

The previous prime is 2416787827. The next prime is 2416787861. The reversal of 2416787828 is 8287876142.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2416787828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416787827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3319400 + ... + 3320127.

It is an arithmetic number, because the mean of its divisors is an integer number (216891248).

Almost surely, 2^2416787828 is an apocalyptic number.

2416787828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2416787828 is an abundant number, since it is smaller than the sum of its proper divisors (2788602124).

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

2416787828 is a wasteful number, since it uses less digits than its factorization.

2416787828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639551 (or 6639549 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 53.

The square root of 2416787828 is about 49160.8363232360. The cubic root of 2416787828 is about 1341.9804065035.

The spelling of 2416787828 in words is "two billion, four hundred sixteen million, seven hundred eighty-seven thousand, eight hundred twenty-eight".