2465694240 has 48 divisors (see below), whose sum is σ = 7766938368. Its totient is φ = 657518336.

The previous prime is 2465694199. The next prime is 2465694247. The reversal of 2465694240 is 424965642.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2465694192 and 2465694201.

It is not an unprimeable number, because it can be changed into a prime (2465694247) 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 7 ways as a sum of consecutive naturals, for example, 2567952 + ... + 2568911.

It is an arithmetic number, because the mean of its divisors is an integer number (161811216).

Almost surely, 2^2465694240 is an apocalyptic number.

2465694240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2465694240 is an abundant number, since it is smaller than the sum of its proper divisors (5301244128).

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

2465694240 is a wasteful number, since it uses less digits than its factorization.

2465694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136881 (or 5136873 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2465694240 is about 49655.7573701177. The cubic root of 2465694240 is about 1350.9721831301.

The spelling of 2465694240 in words is "two billion, four hundred sixty-five million, six hundred ninety-four thousand, two hundred forty".