2744873820 has 144 divisors (see below), whose sum is σ = 9356622912. Its totient is φ = 646272000.

The previous prime is 2744873801. The next prime is 2744873821. The reversal of 2744873820 is 283784472.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744873821) 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, 28320 + ... + 79320.

It is an arithmetic number, because the mean of its divisors is an integer number (64976548).

Almost surely, 2^2744873820 is an apocalyptic number.

2744873820 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 2744873820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678311456).

2744873820 is an abundant number, since it is smaller than the sum of its proper divisors (6611749092).

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

2744873820 is a wasteful number, since it uses less digits than its factorization.

2744873820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51052 (or 51047 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2744873820 is about 52391.5434015834. The cubic root of 2744873820 is about 1400.1485930716.

The spelling of 2744873820 in words is "two billion, seven hundred forty-four million, eight hundred seventy-three thousand, eight hundred twenty".