2142900 has 54 divisors (see below), whose sum is σ = 6719622. Its totient is φ = 571200.

The previous prime is 2142883. The next prime is 2142911. The reversal of 2142900 is 92412.

2142900 = T₁₅₅ + T₁₅₆ + ... + T₂₅₄.

It can be written as a sum of positive squares in 3 ways, for example, as 34596 + 2108304 = 186^2 + 1452^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291 + ... + 2090.

2^2142900 is an apocalyptic number.

2142900 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 2142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359811).

2142900 is an abundant number, since it is smaller than the sum of its proper divisors (4576722).

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

2142900 is a wasteful number, since it uses less digits than its factorization.

2142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2142900 is about 1463.8647478507. The cubic root of 2142900 is about 128.9240584212.

The spelling of 2142900 in words is "two million, one hundred forty-two thousand, nine hundred".