2098762848 has 288 divisors, whose sum is σ = 7453083456. Its totient is φ = 545439744.

The previous prime is 2098762843. The next prime is 2098762979. The reversal of 2098762848 is 8482678902.

2098762848 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 7 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2098762848² = 8809610984290142208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2098762794 and 2098762803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098762843) 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 47 ways as a sum of consecutive naturals, for example, 1912636 + ... + 1913732.

It is an arithmetic number, because the mean of its divisors is an integer number (25878762).

Almost surely, 2^2098762848 is an apocalyptic number.

2098762848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098762848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726541728).

2098762848 is an abundant number, since it is smaller than the sum of its proper divisors (5354320608).

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

2098762848 is a wasteful number, since it uses less digits than its factorization.

2098762848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2098762848 is about 45812.2565259560. The cubic root of 2098762848 is about 1280.3276439898.

The spelling of 2098762848 in words is "two billion, ninety-eight million, seven hundred sixty-two thousand, eight hundred forty-eight".