2874821760 has 512 divisors, whose sum is σ = 10760428800. Its totient is φ = 724598784.

The previous prime is 2874821753. The next prime is 2874821801. The reversal of 2874821760 is 671284782.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39381084 + ... + 39381156.

Almost surely, 2^2874821760 is an apocalyptic number.

2874821760 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 2874821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380214400).

2874821760 is an abundant number, since it is smaller than the sum of its proper divisors (7885607040).

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

2874821760 is a wasteful number, since it uses less digits than its factorization.

2874821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2874821760 is about 53617.3643514860. The cubic root of 2874821760 is about 1421.9041043417.

The spelling of 2874821760 in words is "two billion, eight hundred seventy-four million, eight hundred twenty-one thousand, seven hundred sixty".