2744193312 has 144 divisors (see below), whose sum is σ = 9443371392. Its totient is φ = 737925120.

The previous prime is 2744193301. The next prime is 2744193323. The reversal of 2744193312 is 2133914472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2744193301) and next prime (2744193323).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 5764 + ... + 74307.

It is an arithmetic number, because the mean of its divisors is an integer number (65578968).

Almost surely, 2^2744193312 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 2744193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721685696).

2744193312 is an abundant number, since it is smaller than the sum of its proper divisors (6699178080).

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

2744193312 is a wasteful number, since it uses less digits than its factorization.

2744193312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80111 (or 80100 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2744193312 is about 52385.0485539529. The cubic root of 2744193312 is about 1400.0328754185.

The spelling of 2744193312 in words is "two billion, seven hundred forty-four million, one hundred ninety-three thousand, three hundred twelve".