2946134880 has 288 divisors, whose sum is σ = 10882426464. Its totient is φ = 721502208.

The previous prime is 2946134869. The next prime is 2946134899. The reversal of 2946134880 is 884316492.

It is a happy number.

2946134880 is a `hidden beast` number, since 29 + 4 + 613 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2946134880² = 17359421462305228800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6308407 + ... + 6308873.

It is an arithmetic number, because the mean of its divisors is an integer number (37786203).

Almost surely, 2^2946134880 is an apocalyptic number.

2946134880 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 2946134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441213232).

2946134880 is an abundant number, since it is smaller than the sum of its proper divisors (7936291584).

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

2946134880 is a wasteful number, since it uses less digits than its factorization.

2946134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2946134880 is about 54278.3094799387. The cubic root of 2946134880 is about 1433.5655038850.

The spelling of 2946134880 in words is "two billion, nine hundred forty-six million, one hundred thirty-four thousand, eight hundred eighty".