2142153360 has 120 divisors (see below), whose sum is σ = 7361475264. Its totient is φ = 557948160.

The previous prime is 2142153337. The next prime is 2142153421. The reversal of 2142153360 is 633512412.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636 + ... + 65555.

Almost surely, 2^2142153360 is an apocalyptic number.

2142153360 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 2142153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680737632).

2142153360 is an abundant number, since it is smaller than the sum of its proper divisors (5219321904).

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

2142153360 is a wasteful number, since it uses less digits than its factorization.

2142153360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69253 (or 69244 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2142153360 is about 46283.4026406875. The cubic root of 2142153360 is about 1289.0908322544.

Adding to 2142153360 its reverse (633512412), we get a palindrome (2775665772).

The spelling of 2142153360 in words is "two billion, one hundred forty-two million, one hundred fifty-three thousand, three hundred sixty".