2738272316832 has 480 divisors, whose sum is σ = 8835206166864. Its totient is φ = 826818969600.

The previous prime is 2738272316719. The next prime is 2738272316833. The reversal of 2738272316832 is 2386132728372.

2738272316832 is a `hidden beast` number, since 2 + 7 + 382 + 72 + 3 + 168 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55110379536 + 2683161937296 = 234756^2 + 1638036^2 .

It is a super-2 number, since 2×2738272316832² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2738272316833) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1070891298 + ... + 1070893854.

Almost surely, 2^{2738272316832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738272316832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417603083432).

2738272316832 is an abundant number, since it is smaller than the sum of its proper divisors (6096933850032).

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

2738272316832 is a wasteful number, since it uses less digits than its factorization.

2738272316832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3157 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 2738272316832 in words is "two trillion, seven hundred thirty-eight billion, two hundred seventy-two million, three hundred sixteen thousand, eight hundred thirty-two".