2744427255136 has 192 divisors, whose sum is σ = 6724276715520. Its totient is φ = 1075981294080.

The previous prime is 2744427255127. The next prime is 2744427255149. The reversal of 2744427255136 is 6315527244472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61063905 + ... + 61108831.

It is an arithmetic number, because the mean of its divisors is an integer number (35022274560).

Almost surely, 2^{2744427255136} 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 2744427255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362138357760).

2744427255136 is an abundant number, since it is smaller than the sum of its proper divisors (3979849460384).

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

2744427255136 is a wasteful number, since it uses less digits than its factorization.

2744427255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45457 (or 45449 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 52.

The spelling of 2744427255136 in words is "two trillion, seven hundred forty-four billion, four hundred twenty-seven million, two hundred fifty-five thousand, one hundred thirty-six".