2135907072 has 216 divisors, whose sum is σ = 6863547600. Its totient is φ = 634281984.

The previous prime is 2135907061. The next prime is 2135907077. The reversal of 2135907072 is 2707095312.

It is a super-2 number, since 2×2135907072² = 9124198040439226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2135907077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 867379 + ... + 869837.

Almost surely, 2^2135907072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431773800).

2135907072 is an abundant number, since it is smaller than the sum of its proper divisors (4727640528).

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

2135907072 is a wasteful number, since it uses less digits than its factorization.

2135907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2135907072 is about 46215.8746752672. The cubic root of 2135907072 is about 1287.8366625428.

The spelling of 2135907072 in words is "two billion, one hundred thirty-five million, nine hundred seven thousand, seventy-two".