2465703936 has 384 divisors, whose sum is σ = 8043235200. Its totient is φ = 743178240.

The previous prime is 2465703931. The next prime is 2465703949. The reversal of 2465703936 is 6393075642.

2465703936 is a `hidden beast` number, since 2 + 46 + 570 + 3 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2465703891 and 2465703900.

It is not an unprimeable number, because it can be changed into a prime (2465703931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40421346 + ... + 40421406.

It is an arithmetic number, because the mean of its divisors is an integer number (20945925).

Almost surely, 2^2465703936 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 2465703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2465703936 is an abundant number, since it is smaller than the sum of its proper divisors (5577531264).

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

2465703936 is a wasteful number, since it uses less digits than its factorization.

2465703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2465703936 is about 49655.8550022049. The cubic root of 2465703936 is about 1350.9739539646.

The spelling of 2465703936 in words is "two billion, four hundred sixty-five million, seven hundred three thousand, nine hundred thirty-six".