2679708270624 has 1152 divisors, whose sum is σ = 9674229841920. Its totient is φ = 633218826240.

The previous prime is 2679708270593. The next prime is 2679708270637. The reversal of 2679708270624 is 4260728079762.

It is a happy 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 191 ways as a sum of consecutive naturals, for example, 5787706617 + ... + 5787707079.

It is an arithmetic number, because the mean of its divisors is an integer number (8397768960).

Almost surely, 2^{2679708270624} is an apocalyptic number.

2679708270624 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 2679708270624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837114920960).

2679708270624 is an abundant number, since it is smaller than the sum of its proper divisors (6994521571296).

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

2679708270624 is a wasteful number, since it uses less digits than its factorization.

2679708270624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 2679708270624 in words is "two trillion, six hundred seventy-nine billion, seven hundred eight million, two hundred seventy thousand, six hundred twenty-four".