2852416480 has 96 divisors (see below), whose sum is σ = 6874435008. Its totient is φ = 1118208000.

The previous prime is 2852416433. The next prime is 2852416493. The reversal of 2852416480 is 846142582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 2191830 + ... + 2193130.

It is an arithmetic number, because the mean of its divisors is an integer number (71608698).

Almost surely, 2^2852416480 is an apocalyptic number.

2852416480 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 2852416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437217504).

2852416480 is an abundant number, since it is smaller than the sum of its proper divisors (4022018528).

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

2852416480 is a wasteful number, since it uses less digits than its factorization.

2852416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 2852416480 is about 53408.0188735737. The cubic root of 2852416480 is about 1418.2005375371.

The spelling of 2852416480 in words is "two billion, eight hundred fifty-two million, four hundred sixteen thousand, four hundred eighty".