2098856448 has 400 divisors, whose sum is σ = 7174462680. Its totient is φ = 605159424.

The previous prime is 2098856447. The next prime is 2098856449. The reversal of 2098856448 is 8446588902.

It is an interprime number because it is at equal distance from previous prime (2098856447) and next prime (2098856449).

It can be written as a sum of positive squares in 4 ways, for example, as 2031485184 + 67371264 = 45072^2 + 8208^2 .

It is a super-2 number, since 2×2098856448² = 8810396778622353408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2098856394 and 2098856403.

It is not an unprimeable number, because it can be changed into a prime (2098856447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9165198 + ... + 9165426.

Almost surely, 2^2098856448 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 2098856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587231340).

2098856448 is an abundant number, since it is smaller than the sum of its proper divisors (5075606232).

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

2098856448 is a wasteful number, since it uses less digits than its factorization.

2098856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2098856448 is about 45813.2780752480. The cubic root of 2098856448 is about 1280.3466769304.

The spelling of 2098856448 in words is "two billion, ninety-eight million, eight hundred fifty-six thousand, four hundred forty-eight".