2746944000 has 480 divisors, whose sum is σ = 10456205760. Its totient is φ = 691200000.

The previous prime is 2746943959. The next prime is 2746944001. The reversal of 2746944000 is 4496472.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2746944001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10943875 + ... + 10944125.

It is an arithmetic number, because the mean of its divisors is an integer number (21783762).

Almost surely, 2^2746944000 is an apocalyptic number.

2746944000 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 2746944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228102880).

2746944000 is an abundant number, since it is smaller than the sum of its proper divisors (7709261760).

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

2746944000 is a wasteful number, since it uses less digits than its factorization.

2746944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2746944000 is about 52411.2964922640. The cubic root of 2746944000 is about 1400.5005013211.

The spelling of 2746944000 in words is "two billion, seven hundred forty-six million, nine hundred forty-four thousand".