2146949376 has 288 divisors, whose sum is σ = 6811523712. Its totient is φ = 591790080.

The previous prime is 2146949353. The next prime is 2146949393. The reversal of 2146949376 is 6739496412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12410026 + ... + 12410198.

It is an arithmetic number, because the mean of its divisors is an integer number (23651124).

Almost surely, 2^2146949376 is an apocalyptic number.

2146949376 is a gapful number since it is divisible by the number (26) 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 2146949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405761856).

2146949376 is an abundant number, since it is smaller than the sum of its proper divisors (4664574336).

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

2146949376 is a wasteful number, since it uses less digits than its factorization.

2146949376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 2146949376 is about 46335.1850757068. The cubic root of 2146949376 is about 1290.0521534110.

The spelling of 2146949376 in words is "two billion, one hundred forty-six million, nine hundred forty-nine thousand, three hundred seventy-six".