2664349560 has 192 divisors, whose sum is σ = 8992039680. Its totient is φ = 683458560.

The previous prime is 2664349511. The next prime is 2664349577. The reversal of 2664349560 is 659434662.

2664349560 is a `hidden beast` number, since 2 + 6 + 6 + 43 + 49 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153262 + ... + 2154498.

It is an arithmetic number, because the mean of its divisors is an integer number (46833540).

Almost surely, 2^2664349560 is an apocalyptic number.

2664349560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664349560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496019840).

2664349560 is an abundant number, since it is smaller than the sum of its proper divisors (6327690120).

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

2664349560 is a wasteful number, since it uses less digits than its factorization.

2664349560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2664349560 is about 51617.3377848955. The cubic root of 2664349560 is about 1386.3207843046.

The spelling of 2664349560 in words is "two billion, six hundred sixty-four million, three hundred forty-nine thousand, five hundred sixty".