2142311000 has 64 divisors (see below), whose sum is σ = 5062880160. Its totient is φ = 848400000.

The previous prime is 2142310999. The next prime is 2142311027. The reversal of 2142311000 is 1132412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90395 + ... + 111605.

Almost surely, 2^2142311000 is an apocalyptic number.

2142311000 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 2142311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531440080).

2142311000 is an abundant number, since it is smaller than the sum of its proper divisors (2920569160).

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

2142311000 is a wasteful number, since it uses less digits than its factorization.

2142311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21333 (or 21319 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2142311000 is about 46285.1055956449. The cubic root of 2142311000 is about 1289.1224526631.

Adding to 2142311000 its reverse (1132412), we get a palindrome (2143443412).

It can be divided in two parts, 21423 and 11000, that added together give a palindrome (32423).

The spelling of 2142311000 in words is "two billion, one hundred forty-two million, three hundred eleven thousand".