2851960320 has 640 divisors, whose sum is σ = 11502120960. Its totient is φ = 669081600.

The previous prime is 2851960297. The next prime is 2851960361. The reversal of 2851960320 is 230691582.

2851960320 is a `hidden beast` number, since 28 + 5 + 1 + 9 + 603 + 20 = 666.

2851960320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91998705 + ... + 91998735.

It is an arithmetic number, because the mean of its divisors is an integer number (17972064).

Almost surely, 2^2851960320 is an apocalyptic number.

2851960320 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 2851960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751060480).

2851960320 is an abundant number, since it is smaller than the sum of its proper divisors (8650160640).

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

2851960320 is an equidigital number, since it uses as much as digits as its factorization.

2851960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2851960320 is about 53403.7481830630. The cubic root of 2851960320 is about 1418.1249337054.

The spelling of 2851960320 in words is "two billion, eight hundred fifty-one million, nine hundred sixty thousand, three hundred twenty".