2150820672 has 672 divisors, whose sum is σ = 8324112384. Its totient is φ = 472780800.

The previous prime is 2150820611. The next prime is 2150820701. The reversal of 2150820672 is 2760280512.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69381297 + ... + 69381327.

It is an arithmetic number, because the mean of its divisors is an integer number (12387072).

Almost surely, 2^2150820672 is an apocalyptic number.

2150820672 is a gapful number since it is divisible by the number (22) 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 2150820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162056192).

2150820672 is an abundant number, since it is smaller than the sum of its proper divisors (6173291712).

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

2150820672 is a wasteful number, since it uses less digits than its factorization.

2150820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2150820672 is about 46376.9411669204. The cubic root of 2150820672 is about 1290.8270785262.

The spelling of 2150820672 in words is "two billion, one hundred fifty million, eight hundred twenty thousand, six hundred seventy-two".