2664388560 has 40 divisors (see below), whose sum is σ = 8259605280. Its totient is φ = 710503552.

The previous prime is 2664388549. The next prime is 2664388577. The reversal of 2664388560 is 658834662.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2664388560³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5550570 + ... + 5551049.

It is an arithmetic number, because the mean of its divisors is an integer number (206490132).

Almost surely, 2^2664388560 is an apocalyptic number.

2664388560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2664388560 is an abundant number, since it is smaller than the sum of its proper divisors (5595216720).

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

2664388560 is a wasteful number, since it uses less digits than its factorization.

2664388560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101635 (or 11101629 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2664388560 is about 51617.7155635543. The cubic root of 2664388560 is about 1386.3275484629.

The spelling of 2664388560 in words is "two billion, six hundred sixty-four million, three hundred eighty-eight thousand, five hundred sixty".