2145393936 has 240 divisors, whose sum is σ = 7190396928. Its totient is φ = 584236800.

The previous prime is 2145393923. The next prime is 2145393937. The reversal of 2145393936 is 6393935412.

2145393936 is a `hidden beast` number, since 21 + 4 + 539 + 3 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2145393891 and 2145393900.

It is not an unprimeable number, because it can be changed into a prime (2145393937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2218125 + ... + 2219091.

Almost surely, 2^2145393936 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 2145393936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595198464).

2145393936 is an abundant number, since it is smaller than the sum of its proper divisors (5045002992).

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

2145393936 is a wasteful number, since it uses less digits than its factorization.

2145393936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 2145393936 is about 46318.3973816021. The cubic root of 2145393936 is about 1289.7405355211.

The spelling of 2145393936 in words is "two billion, one hundred forty-five million, three hundred ninety-three thousand, nine hundred thirty-six".