2142132510 has 96 divisors (see below), whose sum is σ = 6036819840. Its totient is φ = 485018688.

The previous prime is 2142132491. The next prime is 2142132511. The reversal of 2142132510 is 152312412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142132511) 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, 150481 + ... + 164099.

It is an arithmetic number, because the mean of its divisors is an integer number (62883540).

Almost surely, 2^2142132510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142132510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018409920).

2142132510 is an abundant number, since it is smaller than the sum of its proper divisors (3894687330).

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

2142132510 is a wasteful number, since it uses less digits than its factorization.

2142132510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13750 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2142132510 is about 46283.1773974087. The cubic root of 2142132510 is about 1289.0866499160.

Adding to 2142132510 its reverse (152312412), we get a palindrome (2294444922).

The spelling of 2142132510 in words is "two billion, one hundred forty-two million, one hundred thirty-two thousand, five hundred ten".