2491882848 has 648 divisors, whose sum is σ = 9630889632. Its totient is φ = 605380608.

The previous prime is 2491882847. The next prime is 2491882849. The reversal of 2491882848 is 8482881942.

It is an interprime number because it is at equal distance from previous prime (2491882847) and next prime (2491882849).

It is a super-2 number, since 2×2491882848² = 12418960256313182208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2491882794 and 2491882803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491882847) 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 107 ways as a sum of consecutive naturals, for example, 53018761 + ... + 53018807.

It is an arithmetic number, because the mean of its divisors is an integer number (14862484).

Almost surely, 2^2491882848 is an apocalyptic number.

2491882848 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 2491882848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815444816).

2491882848 is an abundant number, since it is smaller than the sum of its proper divisors (7139006784).

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

2491882848 is a wasteful number, since it uses less digits than its factorization.

2491882848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 2491882848 is about 49918.7624846610. The cubic root of 2491882848 is about 1355.7383263048.

The spelling of 2491882848 in words is "two billion, four hundred ninety-one million, eight hundred eighty-two thousand, eight hundred forty-eight".