2468864205 has 42 divisors (see below), whose sum is σ = 4447327374. Its totient is φ = 1315127664.

The previous prime is 2468864201. The next prime is 2468864227. The reversal of 2468864205 is 5024688642.

2468864205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1975091364 + 493772841 = 44442^2 + 22221^2 .

It is not a de Polignac number, because 2468864205 - 2² = 2468864201 is a prime.

It is a super-3 number, since 3×2468864205³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468864201) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2999424 + ... + 3000246.

It is an arithmetic number, because the mean of its divisors is an integer number (105888747).

Almost surely, 2^2468864205 is an apocalyptic number.

It is an amenable number.

2468864205 is a deficient number, since it is larger than the sum of its proper divisors (1978463169).

2468864205 is an frugal number, since it uses more digits than its factorization.

2468864205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2468864205 is about 49687.6665280228. Note that the first 3 decimals coincide. The cubic root of 2468864205 is about 1351.5508843235.

Multiplying 2468864205 by its sum of digits (45), we get a square (111098889225 = 333315²).

2468864205 divided by its sum of digits (45) gives a square (54863649 = 7407²).

The spelling of 2468864205 in words is "two billion, four hundred sixty-eight million, eight hundred sixty-four thousand, two hundred five".