2146956000 has 384 divisors, whose sum is σ = 8189475840. Its totient is φ = 481536000.

The previous prime is 2146955947. The next prime is 2146956001. The reversal of 2146956000 is 6596412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146956001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5123791 + ... + 5124209.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^2146956000 is an apocalyptic number.

2146956000 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 2146956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2146956000 is an abundant number, since it is smaller than the sum of its proper divisors (6042519840).

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

2146956000 is a wasteful number, since it uses less digits than its factorization.

2146956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

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

The square root of 2146956000 is about 46335.2565548093. The cubic root of 2146956000 is about 1290.0534801457.

The spelling of 2146956000 in words is "two billion, one hundred forty-six million, nine hundred fifty-six thousand".