2387627616 has 96 divisors (see below), whose sum is σ = 6864092928. Its totient is φ = 720688640.

The previous prime is 2387627587. The next prime is 2387627617. The reversal of 2387627616 is 6167267832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2387627617) 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, 273430 + ... + 282026.

It is an arithmetic number, because the mean of its divisors is an integer number (71500968).

Almost surely, 2^2387627616 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 2387627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432046464).

2387627616 is an abundant number, since it is smaller than the sum of its proper divisors (4476465312).

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

2387627616 is a wasteful number, since it uses less digits than its factorization.

2387627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884 (or 8876 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 2387627616 is about 48863.3565772962. The cubic root of 2387627616 is about 1336.5612460175.

It can be divided in two parts, 2387 and 627616, that added together give a triangular number (630003 = T₁₁₂₂).

The spelling of 2387627616 in words is "two billion, three hundred eighty-seven million, six hundred twenty-seven thousand, six hundred sixteen".