2738081659680 has 960 divisors, whose sum is σ = 10365474873600. Its totient is φ = 681091006464.

The previous prime is 2738081659669. The next prime is 2738081659717. The reversal of 2738081659680 is 869561808372.

2738081659680 is a `hidden beast` number, since 2 + 7 + 38 + 0 + 8 + 1 + 6 + 596 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 10654014112 + ... + 10654014368.

It is an arithmetic number, because the mean of its divisors is an integer number (10797369660).

Almost surely, 2^{2738081659680} is an apocalyptic number.

2738081659680 is a gapful number since it is divisible by the number (20) 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 2738081659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182737436800).

2738081659680 is an abundant number, since it is smaller than the sum of its proper divisors (7627393213920).

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

2738081659680 is an equidigital number, since it uses as much as digits as its factorization.

2738081659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2738081659680 in words is "two trillion, seven hundred thirty-eight billion, eighty-one million, six hundred fifty-nine thousand, six hundred eighty".