2200460064 has 48 divisors (see below), whose sum is σ = 6301320480. Its totient is φ = 666805760.

The previous prime is 2200460051. The next prime is 2200460069. The reversal of 2200460064 is 4600640022.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2200460069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1040829 + ... + 1042940.

It is an arithmetic number, because the mean of its divisors is an integer number (131277510).

Almost surely, 2^2200460064 is an apocalyptic number.

2200460064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2200460064 is an abundant number, since it is smaller than the sum of its proper divisors (4100860416).

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

2200460064 is a wasteful number, since it uses less digits than its factorization.

2200460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083793 (or 2083785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2200460064 is about 46909.0616405828. The cubic root of 2200460064 is about 1300.6821004270.

It can be divided in two parts, 2200 and 460064, that added together give a palindrome (462264).

The spelling of 2200460064 in words is "two billion, two hundred million, four hundred sixty thousand, sixty-four".