2098748620800 has 1152 divisors, whose sum is σ = 8406601213920. Its totient is φ = 515978035200.

The previous prime is 2098748620777. The next prime is 2098748620807. The reversal of 2098748620800 is 80268478902.

2098748620800 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 7 + 4 + 8 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×2098748620800³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2098748620807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587852395 + ... + 2587853205.

Almost surely, 2^{2098748620800} is an apocalyptic number.

2098748620800 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 2098748620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203300606960).

2098748620800 is an abundant number, since it is smaller than the sum of its proper divisors (6307852593120).

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

2098748620800 is an frugal number, since it uses more digits than its factorization.

2098748620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 834 counting only the distinct ones).

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

The spelling of 2098748620800 in words is "two trillion, ninety-eight billion, seven hundred forty-eight million, six hundred twenty thousand, eight hundred".