2142000 has 240 divisors, whose sum is σ = 9052992. Its totient is φ = 460800.

The previous prime is 2141987. The next prime is 2142001. The reversal of 2142000 is 2412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2142001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125992 + ... + 126008.

2^2142000 is an apocalyptic number.

2142000 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 2142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526496).

2142000 is an abundant number, since it is smaller than the sum of its proper divisors (6910992).

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

2142000 is a wasteful number, since it uses less digits than its factorization.

2142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2142000 is about 1463.5573101181. The cubic root of 2142000 is about 128.9060068866.

Adding to 2142000 its reverse (2412), we get a palindrome (2144412).

The spelling of 2142000 in words is "two million, one hundred forty-two thousand".