2120202144 has 144 divisors (see below), whose sum is σ = 6144170760. Its totient is φ = 693411840.

The previous prime is 2120202143. The next prime is 2120202173. The reversal of 2120202144 is 4412020212.

It can be written as a sum of positive squares in 4 ways, for example, as 1252310544 + 867891600 = 35388^2 + 29460^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (2120202143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4639164 + ... + 4639620.

Almost surely, 2^2120202144 is an apocalyptic number.

2120202144 is a gapful number since it is divisible by the number (24) 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 2120202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072085380).

2120202144 is an abundant number, since it is smaller than the sum of its proper divisors (4023968616).

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

2120202144 is a wasteful number, since it uses less digits than its factorization.

2120202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120202144 is about 46045.6528241266. The cubic root of 2120202144 is about 1284.6724866950.

Adding to 2120202144 its reverse (4412020212), we get a palindrome (6532222356).

The spelling of 2120202144 in words is "two billion, one hundred twenty million, two hundred two thousand, one hundred forty-four".