2743393968 has 480 divisors, whose sum is σ = 9796248000. Its totient is φ = 731566080.

The previous prime is 2743393903. The next prime is 2743393987. The reversal of 2743393968 is 8693933472.

2743393968 is a `hidden beast` number, since 274 + 339 + 39 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25168698 + ... + 25168806.

It is an arithmetic number, because the mean of its divisors is an integer number (20408850).

Almost surely, 2^2743393968 is an apocalyptic number.

2743393968 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 2743393968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124000).

2743393968 is an abundant number, since it is smaller than the sum of its proper divisors (7052854032).

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

2743393968 is a wasteful number, since it uses less digits than its factorization.

2743393968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 2743393968 is about 52377.4184930873. The cubic root of 2743393968 is about 1399.8969257447.

The spelling of 2743393968 in words is "two billion, seven hundred forty-three million, three hundred ninety-three thousand, nine hundred sixty-eight".