2127016320 has 512 divisors, whose sum is σ = 8159477760. Its totient is φ = 464486400.

The previous prime is 2127016279. The next prime is 2127016357. The reversal of 2127016320 is 236107212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16748097 + ... + 16748223.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480).

Almost surely, 2^2127016320 is an apocalyptic number.

2127016320 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 2127016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079738880).

2127016320 is an abundant number, since it is smaller than the sum of its proper divisors (6032461440).

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

2127016320 is a wasteful number, since it uses less digits than its factorization.

2127016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2127016320 is about 46119.5871620725. The cubic root of 2127016320 is about 1286.0472963150.

The spelling of 2127016320 in words is "two billion, one hundred twenty-seven million, sixteen thousand, three hundred twenty".