2964664560 has 240 divisors, whose sum is σ = 10880366112. Its totient is φ = 663336960.

The previous prime is 2964664523. The next prime is 2964664583. The reversal of 2964664560 is 654664692.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373594 + ... + 381446.

Almost surely, 2^2964664560 is an apocalyptic number.

2964664560 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 2964664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440183056).

2964664560 is an abundant number, since it is smaller than the sum of its proper divisors (7915701552).

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

2964664560 is a wasteful number, since it uses less digits than its factorization.

2964664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 2964664560 is about 54448.7333185998. The cubic root of 2964664560 is about 1436.5646892145.

The spelling of 2964664560 in words is "two billion, nine hundred sixty-four million, six hundred sixty-four thousand, five hundred sixty".