2141346800 has 60 divisors (see below), whose sum is σ = 5221435896. Its totient is φ = 843744000.

The previous prime is 2141346763. The next prime is 2141346827. The reversal of 2141346800 is 86431412.

It is a super-2 number, since 2×2141346800² = 9170732235740480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13151 + ... + 66750.

Almost surely, 2^2141346800 is an apocalyptic number.

2141346800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141346800 is an abundant number, since it is smaller than the sum of its proper divisors (3080089096).

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

2141346800 is a wasteful number, since it uses less digits than its factorization.

2141346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79986 (or 79975 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2141346800 is about 46274.6885456834. The cubic root of 2141346800 is about 1288.9290231700.

The spelling of 2141346800 in words is "two billion, one hundred forty-one million, three hundred forty-six thousand, eight hundred".