2098884032064 has 392 divisors, whose sum is σ = 6680341562328. Its totient is φ = 651661148160.

The previous prime is 2098884032041. The next prime is 2098884032143. The reversal of 2098884032064 is 4602304888902.

2098884032064 is a `hidden beast` number, since 20 + 9 + 8 + 8 + 8 + 403 + 206 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 782375630400 + 1316508401664 = 884520^2 + 1147392^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2098884032064.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76922104 + ... + 76949384.

It is an arithmetic number, because the mean of its divisors is an integer number (17041687659).

Almost surely, 2^{2098884032064} is an apocalyptic number.

2098884032064 is a gapful number since it is divisible by the number (24) 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 2098884032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340170781164).

2098884032064 is an abundant number, since it is smaller than the sum of its proper divisors (4581457530264).

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

2098884032064 is an equidigital number, since it uses as much as digits as its factorization.

2098884032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27425 (or 27400 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2098884032064 in words is "two trillion, ninety-eight billion, eight hundred eighty-four million, thirty-two thousand, sixty-four".