2098967826240 has 1008 divisors, whose sum is σ = 7774799385600. Its totient is φ = 539394121728.

The previous prime is 2098967826161. The next prime is 2098967826281. The reversal of 2098967826240 is 426287698902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8782292041 + ... + 8782292279.

Almost surely, 2^{2098967826240} is an apocalyptic number.

2098967826240 is a gapful number since it is divisible by the number (20) 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 2098967826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887399692800).

2098967826240 is an abundant number, since it is smaller than the sum of its proper divisors (5675831559360).

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

2098967826240 is an frugal number, since it uses more digits than its factorization.

2098967826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2098967826240 in words is "two trillion, ninety-eight billion, nine hundred sixty-seven million, eight hundred twenty-six thousand, two hundred forty".