2956146000 has 160 divisors (see below), whose sum is σ = 9605920896. Its totient is φ = 782080000.

The previous prime is 2956145999. The next prime is 2956146007. The reversal of 2956146000 is 6416592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956146007) by changing a digit.

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, 784120 + ... + 787880.

Almost surely, 2^2956146000 is an apocalyptic number.

2956146000 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 2956146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802960448).

2956146000 is an abundant number, since it is smaller than the sum of its proper divisors (6649774896).

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

2956146000 is a wasteful number, since it uses less digits than its factorization.

2956146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2956146000 is about 54370.4515338984. The cubic root of 2956146000 is about 1435.1874449100.

The spelling of 2956146000 in words is "two billion, nine hundred fifty-six million, one hundred forty-six thousand".