2140471872 has 224 divisors, whose sum is σ = 7845795840. Its totient is φ = 555932160.

The previous prime is 2140471859. The next prime is 2140472101. The reversal of 2140471872 is 2781740412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125013 + ... + 141099.

Almost surely, 2^2140471872 is an apocalyptic number.

2140471872 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 2140471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922897920).

2140471872 is an abundant number, since it is smaller than the sum of its proper divisors (5705323968).

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

2140471872 is a wasteful number, since it uses less digits than its factorization.

2140471872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16126 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2140471872 is about 46265.2339451558. The cubic root of 2140471872 is about 1288.7534524003.

The spelling of 2140471872 in words is "two billion, one hundred forty million, four hundred seventy-one thousand, eight hundred seventy-two".