2743920360 has 320 divisors, whose sum is σ = 10086405120. Its totient is φ = 666040320.

The previous prime is 2743920349. The next prime is 2743920371. The reversal of 2743920360 is 630293472.

It is a happy number.

2743920360 is a `hidden beast` number, since 274 + 3 + 9 + 20 + 360 = 666.

2743920360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2743920349) and next prime (2743920371).

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1706677 + ... + 1708283.

It is an arithmetic number, because the mean of its divisors is an integer number (31520016).

Almost surely, 2^2743920360 is an apocalyptic number.

2743920360 is a gapful number since it is divisible by the number (20) 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 2743920360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043202560).

2743920360 is an abundant number, since it is smaller than the sum of its proper divisors (7342484760).

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

2743920360 is a wasteful number, since it uses less digits than its factorization.

2743920360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2743920360 is about 52382.4432419871. The cubic root of 2743920360 is about 1399.9864556513.

The spelling of 2743920360 in words is "two billion, seven hundred forty-three million, nine hundred twenty thousand, three hundred sixty".