2142800 has 60 divisors (see below), whose sum is σ = 5627616. Its totient is φ = 777600.

The previous prime is 2142793. The next prime is 2142823. The reversal of 2142800 is 82412.

2142800 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4157 + ... + 4643.

2^2142800 is an apocalyptic number.

2142800 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 2142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813808).

2142800 is an abundant number, since it is smaller than the sum of its proper divisors (3484816).

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

2142800 is a wasteful number, since it uses less digits than its factorization.

2142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2142800 is about 1463.8305912912. The cubic root of 2142800 is about 128.9220529448.

The spelling of 2142800 in words is "two million, one hundred forty-two thousand, eight hundred".