2145087936 has 84 divisors (see below), whose sum is σ = 6249404824. Its totient is φ = 703296000.

The previous prime is 2145087929. The next prime is 2145087937. The reversal of 2145087936 is 6397805412.

2145087936 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2145087936 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2145087891 and 2145087900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145087937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4611 + ... + 65661.

It is a 1-persistent number, because it is pandigital, but 2⋅2145087936 = 4290175872 is not.

Almost surely, 2^2145087936 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 2145087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124702412).

2145087936 is an abundant number, since it is smaller than the sum of its proper divisors (4104316888).

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

2145087936 is a wasteful number, since it uses less digits than its factorization.

2145087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61130 (or 61117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2145087936 is about 46315.0940407120. The cubic root of 2145087936 is about 1289.6792135478.

The spelling of 2145087936 in words is "two billion, one hundred forty-five million, eighty-seven thousand, nine hundred thirty-six".