2135348072 has 64 divisors (see below), whose sum is σ = 4724516160. Its totient is φ = 891993600.

The previous prime is 2135348071. The next prime is 2135348141. The reversal of 2135348072 is 2708435312.

It is a super-2 number, since 2×2135348072² = 9119422777188234368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135348071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262547 + ... + 270557.

It is an arithmetic number, because the mean of its divisors is an integer number (73820565).

Almost surely, 2^2135348072 is an apocalyptic number.

2135348072 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 2135348072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362258080).

2135348072 is an abundant number, since it is smaller than the sum of its proper divisors (2589168088).

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

2135348072 is a wasteful number, since it uses less digits than its factorization.

2135348072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2135348072 is about 46209.8265740091. The cubic root of 2135348072 is about 1287.7243037990.

The spelling of 2135348072 in words is "two billion, one hundred thirty-five million, three hundred forty-eight thousand, seventy-two".