2135020272 has 160 divisors (see below), whose sum is σ = 7238584320. Its totient is φ = 525346560.

The previous prime is 2135020249. The next prime is 2135020289. The reversal of 2135020272 is 2720205312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55023 + ... + 85425.

It is an arithmetic number, because the mean of its divisors is an integer number (45241152).

Almost surely, 2^2135020272 is an apocalyptic number.

2135020272 is a gapful number since it is divisible by the number (22) 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 2135020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619292160).

2135020272 is an abundant number, since it is smaller than the sum of its proper divisors (5103564048).

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

2135020272 is a wasteful number, since it uses less digits than its factorization.

2135020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30451 (or 30445 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2135020272 is about 46206.2795732355. The cubic root of 2135020272 is about 1287.6584070280.

Adding to 2135020272 its reverse (2720205312), we get a palindrome (4855225584).

The spelling of 2135020272 in words is "two billion, one hundred thirty-five million, twenty thousand, two hundred seventy-two".