2138179680 has 960 divisors, whose sum is σ = 9733046400. Its totient is φ = 438939648.

The previous prime is 2138179679. The next prime is 2138179691. The reversal of 2138179680 is 869718312.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788622 + ... + 57788658.

It is an arithmetic number, because the mean of its divisors is an integer number (10138590).

Almost surely, 2^2138179680 is an apocalyptic number.

2138179680 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 2138179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866523200).

2138179680 is an abundant number, since it is smaller than the sum of its proper divisors (7594866720).

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

2138179680 is a wasteful number, since it uses less digits than its factorization.

2138179680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2138179680 is about 46240.4550150623. The cubic root of 2138179680 is about 1288.2932539573.

The spelling of 2138179680 in words is "two billion, one hundred thirty-eight million, one hundred seventy-nine thousand, six hundred eighty".