2468645040 has 80 divisors (see below), whose sum is σ = 7657652736. Its totient is φ = 657888000.

The previous prime is 2468645017. The next prime is 2468645057. The reversal of 2468645040 is 405468642.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2468645040³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2468645040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639115 + ... + 642965.

Almost surely, 2^2468645040 is an apocalyptic number.

2468645040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468645040 is an abundant number, since it is smaller than the sum of its proper divisors (5189007696).

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

2468645040 is a wasteful number, since it uses less digits than its factorization.

2468645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2468645040 is about 49685.4610525051. The cubic root of 2468645040 is about 1351.5108900332.

The spelling of 2468645040 in words is "two billion, four hundred sixty-eight million, six hundred forty-five thousand, forty".