2738687616 has 384 divisors, whose sum is σ = 9547200000. Its totient is φ = 752338944.

The previous prime is 2738687597. The next prime is 2738687639. The reversal of 2738687616 is 6167868372.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11458825 + ... + 11459063.

It is an arithmetic number, because the mean of its divisors is an integer number (24862500).

Almost surely, 2^2738687616 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 2738687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600000).

2738687616 is an abundant number, since it is smaller than the sum of its proper divisors (6808512384).

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

2738687616 is a wasteful number, since it uses less digits than its factorization.

2738687616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2738687616 is about 52332.4719079846. The cubic root of 2738687616 is about 1399.0959496683.

The spelling of 2738687616 in words is "two billion, seven hundred thirty-eight million, six hundred eighty-seven thousand, six hundred sixteen".