2966450760 has 768 divisors, whose sum is σ = 12881756160. Its totient is φ = 574801920.

The previous prime is 2966450743. The next prime is 2966450789. The reversal of 2966450760 is 670546692.

2966450760 is a `hidden beast` number, since 29 + 6 + 64 + 507 + 60 = 666.

It is a super-2 number, since 2×2966450760² = 17599660223009155200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23357817 + ... + 23357943.

It is an arithmetic number, because the mean of its divisors is an integer number (16773120).

Almost surely, 2^2966450760 is an apocalyptic number.

2966450760 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 2966450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440878080).

2966450760 is an abundant number, since it is smaller than the sum of its proper divisors (9915305400).

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

2966450760 is a wasteful number, since it uses less digits than its factorization.

2966450760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2966450760 is about 54465.1334341522. The cubic root of 2966450760 is about 1436.8531396878.

The spelling of 2966450760 in words is "two billion, nine hundred sixty-six million, four hundred fifty thousand, seven hundred sixty".