2744409960 has 192 divisors, whose sum is σ = 9623324880. Its totient is φ = 675717120.

The previous prime is 2744409949. The next prime is 2744410003. The reversal of 2744409960 is 699044472.

2744409960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2309186916 + 435223044 = 48054^2 + 20862^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320130 + ... + 328590.

Almost surely, 2^2744409960 is an apocalyptic number.

2744409960 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 2744409960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811662440).

2744409960 is an abundant number, since it is smaller than the sum of its proper divisors (6878914920).

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

2744409960 is a wasteful number, since it uses less digits than its factorization.

2744409960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2744409960 is about 52387.1163550734. The cubic root of 2744409960 is about 1400.0697176166.

The spelling of 2744409960 in words is "two billion, seven hundred forty-four million, four hundred nine thousand, nine hundred sixty".