2135326072 has 128 divisors (see below), whose sum is σ = 4864665600. Its totient is φ = 866764800.

The previous prime is 2135326027. The next prime is 2135326093. The reversal of 2135326072 is 2706235312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7879297 + ... + 7879567.

It is an arithmetic number, because the mean of its divisors is an integer number (38005200).

Almost surely, 2^2135326072 is an apocalyptic number.

2135326072 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 2135326072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432332800).

2135326072 is an abundant number, since it is smaller than the sum of its proper divisors (2729339528).

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

2135326072 is a wasteful number, since it uses less digits than its factorization.

2135326072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 2135326072 is about 46209.5885287891. The cubic root of 2135326072 is about 1287.7198814080.

The spelling of 2135326072 in words is "two billion, one hundred thirty-five million, three hundred twenty-six thousand, seventy-two".