2756936326144 has 528 divisors, whose sum is σ = 7578709893216. Its totient is φ = 985330483200.

The previous prime is 2756936326103. The next prime is 2756936326211. The reversal of 2756936326144 is 4416236396572.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1241302954 + ... + 1241305174.

It is an arithmetic number, because the mean of its divisors is an integer number (14353617222).

Almost surely, 2^{2756936326144} 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 2756936326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789354946608).

2756936326144 is an abundant number, since it is smaller than the sum of its proper divisors (4821773567072).

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

2756936326144 is a wasteful number, since it uses less digits than its factorization.

2756936326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2427 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 58.

The spelling of 2756936326144 in words is "two trillion, seven hundred fifty-six billion, nine hundred thirty-six million, three hundred twenty-six thousand, one hundred forty-four".