2142522000 has 240 divisors, whose sum is σ = 7687750512. Its totient is φ = 555724800.

The previous prime is 2142521977. The next prime is 2142522007. The reversal of 2142522000 is 2252412.

2142522000 is a `hidden beast` number, since 2 + 142 + 522 + 0 + 0 + 0 = 666.

2142522000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44515584 + 2098006416 = 6672^2 + 45804^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (2142522007) 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, 664392 + ... + 667608.

Almost surely, 2^2142522000 is an apocalyptic number.

2142522000 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 2142522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843875256).

2142522000 is an abundant number, since it is smaller than the sum of its proper divisors (5545228512).

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

2142522000 is a wasteful number, since it uses less digits than its factorization.

2142522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2142522000 is about 46287.3848904861. The cubic root of 2142522000 is about 1289.1647739240.

Adding to 2142522000 its reverse (2252412), we get a palindrome (2144774412).

The spelling of 2142522000 in words is "two billion, one hundred forty-two million, five hundred twenty-two thousand".