2664462240 has 144 divisors (see below), whose sum is σ = 9919125216. Its totient is φ = 645926400.

The previous prime is 2664462223. The next prime is 2664462271. The reversal of 2664462240 is 422644662.

2664462240 is a `hidden beast` number, since 2 + 6 + 644 + 6 + 2 + 2 + 4 + 0 = 666.

2664462240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2664462195 and 2664462204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68266 + ... + 99945.

It is an arithmetic number, because the mean of its divisors is an integer number (68882814).

Almost surely, 2^2664462240 is an apocalyptic number.

2664462240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2664462240 is an abundant number, since it is smaller than the sum of its proper divisors (7254662976).

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

2664462240 is a wasteful number, since it uses less digits than its factorization.

2664462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168243 (or 168232 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2664462240 is about 51618.4292670748. The cubic root of 2664462240 is about 1386.3403273388.

It can be divided in two parts, 26644622 and 40, that added together give a palindrome (26644662).

The spelling of 2664462240 in words is "two billion, six hundred sixty-four million, four hundred sixty-two thousand, two hundred forty".