2516667828 has 96 divisors (see below), whose sum is σ = 6386688000. Its totient is φ = 768278016.

The previous prime is 2516667827. The next prime is 2516667851. The reversal of 2516667828 is 8287666152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516667827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1907353 + ... + 1908671.

It is an arithmetic number, because the mean of its divisors is an integer number (66528000).

Almost surely, 2^2516667828 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 2516667828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344000).

2516667828 is an abundant number, since it is smaller than the sum of its proper divisors (3870020172).

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

2516667828 is a wasteful number, since it uses less digits than its factorization.

2516667828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 2516667828 is about 50166.4013857881. The cubic root of 2516667828 is about 1360.2183595465.

The spelling of 2516667828 in words is "two billion, five hundred sixteen million, six hundred sixty-seven thousand, eight hundred twenty-eight".