2682856957824 has 256 divisors, whose sum is σ = 8367028992000. Its totient is φ = 844573796352.

The previous prime is 2682856957789. The next prime is 2682856957831. The reversal of 2682856957824 is 4287596582862.

2682856957824 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 8 + 569 + 57 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×2682856957824² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6065934 + ... + 6493170.

It is an arithmetic number, because the mean of its divisors is an integer number (32683707000).

Almost surely, 2^{2682856957824} is an apocalyptic number.

2682856957824 is a gapful number since it is divisible by the number (24) 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 2682856957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183514496000).

2682856957824 is an abundant number, since it is smaller than the sum of its proper divisors (5684172034176).

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

2682856957824 is a wasteful number, since it uses less digits than its factorization.

2682856957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427362 (or 427344 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 2682856957824 in words is "two trillion, six hundred eighty-two billion, eight hundred fifty-six million, nine hundred fifty-seven thousand, eight hundred twenty-four".