2946454560 has 576 divisors, whose sum is σ = 12227604480. Its totient is φ = 631572480.

The previous prime is 2946454541. The next prime is 2946454571. The reversal of 2946454560 is 654546492.

2946454560 is a `hidden beast` number, since 2 + 9 + 46 + 4 + 545 + 60 = 666.

2946454560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 16460551 + ... + 16460729.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^2946454560 is an apocalyptic number.

2946454560 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 2946454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113802240).

2946454560 is an abundant number, since it is smaller than the sum of its proper divisors (9281149920).

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

2946454560 is a wasteful number, since it uses less digits than its factorization.

2946454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2946454560 is about 54281.2542227978. The cubic root of 2946454560 is about 1433.6173532474.

The spelling of 2946454560 in words is "two billion, nine hundred forty-six million, four hundred fifty-four thousand, five hundred sixty".