2140172928 has 192 divisors, whose sum is σ = 6471410400. Its totient is φ = 703945728.

The previous prime is 2140172921. The next prime is 2140172933. The reversal of 2140172928 is 8292710412.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 2140172892 and 2140172901.

It is not an unprimeable number, because it can be changed into a prime (2140172921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581218 + ... + 2582046.

Almost surely, 2^2140172928 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 2140172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235705200).

2140172928 is an abundant number, since it is smaller than the sum of its proper divisors (4331237472).

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

2140172928 is an frugal number, since it uses more digits than its factorization.

2140172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2140172928 is about 46262.0030694738. The cubic root of 2140172928 is about 1288.6934526942.

The spelling of 2140172928 in words is "two billion, one hundred forty million, one hundred seventy-two thousand, nine hundred twenty-eight".