2782471120 has 160 divisors (see below), whose sum is σ = 7863246720. Its totient is φ = 901662720.

The previous prime is 2782471103. The next prime is 2782471193. The reversal of 2782471120 is 211742872.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327567 + ... + 335953.

It is an arithmetic number, because the mean of its divisors is an integer number (49145292).

Almost surely, 2^2782471120 is an apocalyptic number.

2782471120 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 2782471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931623360).

2782471120 is an abundant number, since it is smaller than the sum of its proper divisors (5080775600).

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

2782471120 is a wasteful number, since it uses less digits than its factorization.

2782471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 2782471120 is about 52749.1338317512. The cubic root of 2782471120 is about 1406.5123669939.

The spelling of 2782471120 in words is "two billion, seven hundred eighty-two million, four hundred seventy-one thousand, one hundred twenty".