2845668100 has 144 divisors (see below), whose sum is σ = 7089296256. Its totient is φ = 981376000.

The previous prime is 2845668071. The next prime is 2845668149. The reversal of 2845668100 is 18665482.

It is a super-2 number, since 2×2845668100² = 16195653870715220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3465690 + ... + 3466510.

It is an arithmetic number, because the mean of its divisors is an integer number (49231224).

Almost surely, 2^2845668100 is an apocalyptic number.

2845668100 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 2845668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544648128).

2845668100 is an abundant number, since it is smaller than the sum of its proper divisors (4243628156).

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

2845668100 is a wasteful number, since it uses less digits than its factorization.

2845668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 2845668100 is about 53344.8038706677. The cubic root of 2845668100 is about 1417.0812393752.

The spelling of 2845668100 in words is "two billion, eight hundred forty-five million, six hundred sixty-eight thousand, one hundred".