2081948557248 has 448 divisors, whose sum is σ = 7090984243200. Its totient is φ = 594026431488.

The previous prime is 2081948557243. The next prime is 2081948557253. The reversal of 2081948557248 is 8427558491802.

2081948557248 is a `hidden beast` number, since 2 + 0 + 8 + 19 + 4 + 8 + 5 + 572 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2081948557243) and next prime (2081948557253).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081948557243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1400099161 + ... + 1400100647.

Almost surely, 2^{2081948557248} is an apocalyptic number.

2081948557248 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 2081948557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545492121600).

2081948557248 is an abundant number, since it is smaller than the sum of its proper divisors (5009035685952).

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

2081948557248 is an equidigital number, since it uses as much as digits as its factorization.

2081948557248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 2081948557248 in words is "two trillion, eighty-one billion, nine hundred forty-eight million, five hundred fifty-seven thousand, two hundred forty-eight".