2498821816320 has 816 divisors, whose sum is σ = 9177968904480. Its totient is φ = 644823908352.

The previous prime is 2498821816279. The next prime is 2498821816327. The reversal of 2498821816320 is 236181288942.

2498821816320 is a `hidden beast` number, since 2 + 4 + 98 + 8 + 218 + 16 + 320 = 666.

It is a super-2 number, since 2×2498821816320² (a number of 26 digits) contains 22 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 (2498821816327) 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, 34230435804 + ... + 34230435876.

Almost surely, 2^{2498821816320} is an apocalyptic number.

2498821816320 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 2498821816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588984452240).

2498821816320 is an abundant number, since it is smaller than the sum of its proper divisors (6679147088160).

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

2498821816320 is an frugal number, since it uses more digits than its factorization.

2498821816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2498821816320 in words is "two trillion, four hundred ninety-eight billion, eight hundred twenty-one million, eight hundred sixteen thousand, three hundred twenty".