2142671616 has 180 divisors, whose sum is σ = 6434381184. Its totient is φ = 709171200.

The previous prime is 2142671599. The next prime is 2142671617. The reversal of 2142671616 is 6161762412.

2142671616 is a `hidden beast` number, since 2 + 14 + 26 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2142671617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3960306 + ... + 3960846.

Almost surely, 2^2142671616 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 2142671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217190592).

2142671616 is an abundant number, since it is smaller than the sum of its proper divisors (4291709568).

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

2142671616 is an equidigital number, since it uses as much as digits as its factorization.

2142671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2142671616 is about 46289.0010261617. The cubic root of 2142671616 is about 1289.1947814240.

The spelling of 2142671616 in words is "two billion, one hundred forty-two million, six hundred seventy-one thousand, six hundred sixteen".