2146307072 has 176 divisors, whose sum is σ = 5458317312. Its totient is φ = 820592640.

The previous prime is 2146307057. The next prime is 2146307087. The reversal of 2146307072 is 2707036412.

It is an interprime number because it is at equal distance from previous prime (2146307057) and next prime (2146307087).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888333 + ... + 2889075.

Almost surely, 2^2146307072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729158656).

2146307072 is an abundant number, since it is smaller than the sum of its proper divisors (3312010240).

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

2146307072 is a wasteful number, since it uses less digits than its factorization.

2146307072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2146307072 is about 46328.2534961119. The cubic root of 2146307072 is about 1289.9234920473.

The spelling of 2146307072 in words is "two billion, one hundred forty-six million, three hundred seven thousand, seventy-two".