2851466800 has 540 divisors, whose sum is σ = 9349776576. Its totient is φ = 827366400.

The previous prime is 2851466773. The next prime is 2851466801. The reversal of 2851466800 is 86641582.

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

It is not an unprimeable number, because it can be changed into a prime (2851466801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 91982785 + ... + 91982815.

Almost surely, 2^2851466800 is an apocalyptic number.

2851466800 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 2851466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674888288).

2851466800 is an abundant number, since it is smaller than the sum of its proper divisors (6498309776).

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

2851466800 is a wasteful number, since it uses less digits than its factorization.

2851466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

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

The square root of 2851466800 is about 53399.1273336934. The cubic root of 2851466800 is about 1418.0431287581.

The spelling of 2851466800 in words is "two billion, eight hundred fifty-one million, four hundred sixty-six thousand, eight hundred".