2141772840 has 144 divisors (see below), whose sum is σ = 7229001780. Its totient is φ = 571069440.

The previous prime is 2141772803. The next prime is 2141772851. The reversal of 2141772840 is 482771412.

It can be written as a sum of positive squares in 2 ways, for example, as 2101855716 + 39917124 = 45846^2 + 6318^2 .

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 = 2141772795 and 2141772804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258360 + ... + 266520.

Almost surely, 2^2141772840 is an apocalyptic number.

2141772840 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 2141772840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614500890).

2141772840 is an abundant number, since it is smaller than the sum of its proper divisors (5087228940).

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

2141772840 is an frugal number, since it uses more digits than its factorization.

2141772840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8171 counting only the distinct ones).

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

The square root of 2141772840 is about 46279.2916972592. The cubic root of 2141772840 is about 1289.0144988010.

The spelling of 2141772840 in words is "two billion, one hundred forty-one million, seven hundred seventy-two thousand, eight hundred forty".