2098415616 has 192 divisors, whose sum is σ = 6215227200. Its totient is φ = 624230400.

The previous prime is 2098415597. The next prime is 2098415639. The reversal of 2098415616 is 6165148902.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 4122370 + ... + 4122878.

It is an arithmetic number, because the mean of its divisors is an integer number (32370975).

Almost surely, 2^2098415616 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 2098415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107613600).

2098415616 is an abundant number, since it is smaller than the sum of its proper divisors (4116811584).

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

2098415616 is a wasteful number, since it uses less digits than its factorization.

2098415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2098415616 is about 45808.4666410043. The cubic root of 2098415616 is about 1280.2570317164.

It can be divided in two parts, 2098 and 415616, that added together give a palindrome (417714).

The spelling of 2098415616 in words is "two billion, ninety-eight million, four hundred fifteen thousand, six hundred sixteen".