2781084320 has 96 divisors (see below), whose sum is σ = 7599650688. Its totient is φ = 941995008.

The previous prime is 2781084301. The next prime is 2781084331. The reversal of 2781084320 is 234801872.

2781084320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78002 + ... + 107918.

It is an arithmetic number, because the mean of its divisors is an integer number (79163028).

Almost surely, 2^2781084320 is an apocalyptic number.

2781084320 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 2781084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799825344).

2781084320 is an abundant number, since it is smaller than the sum of its proper divisors (4818566368).

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

2781084320 is a wasteful number, since it uses less digits than its factorization.

2781084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30022 (or 30014 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2781084320 is about 52735.9869538819. The cubic root of 2781084320 is about 1406.2786568119.

The spelling of 2781084320 in words is "two billion, seven hundred eighty-one million, eighty-four thousand, three hundred twenty".