2916466560 has 896 divisors, whose sum is σ = 12843187200. Its totient is φ = 618098688.

The previous prime is 2916466559. The next prime is 2916466573. The reversal of 2916466560 is 656646192.

2916466560 is a `hidden beast` number, since 29 + 1 + 6 + 4 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 62052457 + ... + 62052503.

Almost surely, 2^2916466560 is an apocalyptic number.

2916466560 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 2916466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421593600).

2916466560 is an abundant number, since it is smaller than the sum of its proper divisors (9926720640).

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

2916466560 is an equidigital number, since it uses as much as digits as its factorization.

2916466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2916466560 is about 54004.3198272138. The cubic root of 2916466560 is about 1428.7371379585.

Subtracting from 2916466560 its product of nonzero digits (466560), we obtain a square (2916000000 = 54000²).

The spelling of 2916466560 in words is "two billion, nine hundred sixteen million, four hundred sixty-six thousand, five hundred sixty".