2738417310720 has 3168 divisors, whose sum is σ = 12972461419008. Its totient is φ = 539197046784.

The previous prime is 2738417310719. The next prime is 2738417310803. The reversal of 2738417310720 is 270137148372.

2738417310720 is a `hidden beast` number, since 27 + 384 + 173 + 10 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 40871900127 + ... + 40871900193.

Almost surely, 2^{2738417310720} is an apocalyptic number.

2738417310720 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 2738417310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486230709504).

2738417310720 is an abundant number, since it is smaller than the sum of its proper divisors (10234044108288).

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

2738417310720 is a wasteful number, since it uses less digits than its factorization.

2738417310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 2738417310720 in words is "two trillion, seven hundred thirty-eight billion, four hundred seventeen million, three hundred ten thousand, seven hundred twenty".