2946007140 has 96 divisors (see below), whose sum is σ = 8346240000. Its totient is φ = 776381952.

The previous prime is 2946007073. The next prime is 2946007193. The reversal of 2946007140 is 417006492.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046541 + ... + 2047979.

It is an arithmetic number, because the mean of its divisors is an integer number (86940000).

Almost surely, 2^2946007140 is an apocalyptic number.

2946007140 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 2946007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120000).

2946007140 is an abundant number, since it is smaller than the sum of its proper divisors (5400232860).

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

2946007140 is a wasteful number, since it uses less digits than its factorization.

2946007140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2946007140 is about 54277.1327540429. The cubic root of 2946007140 is about 1433.5447845005.

The spelling of 2946007140 in words is "two billion, nine hundred forty-six million, seven thousand, one hundred forty".