2516767616 has 64 divisors (see below), whose sum is σ = 5603214960. Its totient is φ = 1116057600.

The previous prime is 2516767573. The next prime is 2516767621. The reversal of 2516767616 is 6167676152.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 35930 + ... + 79526.

Almost surely, 2^2516767616 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 2516767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801607480).

2516767616 is an abundant number, since it is smaller than the sum of its proper divisors (3086447344).

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

2516767616 is a wasteful number, since it uses less digits than its factorization.

2516767616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43663 (or 43651 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 2516767616 is about 50167.3959459727. The cubic root of 2516767616 is about 1360.2363372436.

The spelling of 2516767616 in words is "two billion, five hundred sixteen million, seven hundred sixty-seven thousand, six hundred sixteen".