2749936557368 has 576 divisors, whose sum is σ = 7515713640960. Its totient is φ = 932323392000.

The previous prime is 2749936557367. The next prime is 2749936557377. The reversal of 2749936557368 is 8637556399472.

Its product of digits (2057529600) is a multiple of the sum of its prime factors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 2749936557295 and 2749936557304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749936557367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1006932563 + ... + 1006935293.

It is an arithmetic number, because the mean of its divisors is an integer number (13048113960).

Almost surely, 2^{2749936557368} is an apocalyptic number.

2749936557368 is a gapful number since it is divisible by the number (28) 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 2749936557368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757856820480).

2749936557368 is an abundant number, since it is smaller than the sum of its proper divisors (4765777083592).

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

2749936557368 is a wasteful number, since it uses less digits than its factorization.

2749936557368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2858 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 74.

The spelling of 2749936557368 in words is "two trillion, seven hundred forty-nine billion, nine hundred thirty-six million, five hundred fifty-seven thousand, three hundred sixty-eight".