2141849600 has 144 divisors (see below), whose sum is σ = 5794785360. Its totient is φ = 778649600.

The previous prime is 2141849597. The next prime is 2141849623. The reversal of 2141849600 is 69481412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561299 + ... + 565101.

It is an arithmetic number, because the mean of its divisors is an integer number (40241565).

Almost surely, 2^2141849600 is an apocalyptic number.

2141849600 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 2141849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897392680).

2141849600 is an abundant number, since it is smaller than the sum of its proper divisors (3652935760).

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

2141849600 is a wasteful number, since it uses less digits than its factorization.

2141849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2141849600 is about 46280.1210024347. The cubic root of 2141849600 is about 1289.0298978152.

The spelling of 2141849600 in words is "two billion, one hundred forty-one million, eight hundred forty-nine thousand, six hundred".