2007982887456 has 192 divisors, whose sum is σ = 6488202325248. Its totient is φ = 529506643968.

The previous prime is 2007982887439. The next prime is 2007982887487. The reversal of 2007982887456 is 6547882897002.

It is a super-2 number, since 2×2007982887456² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108430710 + ... + 108449226.

It is an arithmetic number, because the mean of its divisors is an integer number (33792720444).

Almost surely, 2^{2007982887456} is an apocalyptic number.

2007982887456 is a gapful number since it is divisible by the number (26) 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 2007982887456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244101162624).

2007982887456 is an abundant number, since it is smaller than the sum of its proper divisors (4480219437792).

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

2007982887456 is a wasteful number, since it uses less digits than its factorization.

2007982887456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30963 (or 30955 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 2007982887456 in words is "two trillion, seven billion, nine hundred eighty-two million, eight hundred eighty-seven thousand, four hundred fifty-six".