2007240082848 has 1152 divisors, whose sum is σ = 7822270310400. Its totient is φ = 471428259840.

The previous prime is 2007240082823. The next prime is 2007240082937. The reversal of 2007240082848 is 8482800427002.

2007240082848 is a `hidden beast` number, since 20 + 0 + 72 + 400 + 82 + 84 + 8 = 666.

It is a super-2 number, since 2×2007240082848² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3565257415 + ... + 3565257977.

It is an arithmetic number, because the mean of its divisors is an integer number (6790165200).

Almost surely, 2^{2007240082848} is an apocalyptic number.

2007240082848 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 2007240082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911135155200).

2007240082848 is an abundant number, since it is smaller than the sum of its proper divisors (5815030227552).

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

2007240082848 is a wasteful number, since it uses less digits than its factorization.

2007240082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 2007240082848 in words is "two trillion, seven billion, two hundred forty million, eighty-two thousand, eight hundred forty-eight".