2998127616 has 264 divisors, whose sum is σ = 9290694336. Its totient is φ = 852295680.

The previous prime is 2998127611. The next prime is 2998127617. The reversal of 2998127616 is 6167218992.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2998127611) 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 23 ways as a sum of consecutive naturals, for example, 9765735 + ... + 9766041.

It is an arithmetic number, because the mean of its divisors is an integer number (35192024).

Almost surely, 2^2998127616 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 2998127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645347168).

2998127616 is an abundant number, since it is smaller than the sum of its proper divisors (6292566720).

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

2998127616 is a wasteful number, since it uses less digits than its factorization.

2998127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 340 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 2998127616 is about 54755.1606334965. The cubic root of 2998127616 is about 1441.9494584161.

The spelling of 2998127616 in words is "two billion, nine hundred ninety-eight million, one hundred twenty-seven thousand, six hundred sixteen".