2782142180 has 24 divisors (see below), whose sum is σ = 5849197368. Its totient is φ = 1111580928.

The previous prime is 2782142179. The next prime is 2782142189. The reversal of 2782142180 is 812412872.

2782142180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 906732544 + 1875409636 = 30112^2 + 43306^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2782142180.

It is not an unprimeable number, because it can be changed into a prime (2782142189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61769 + ... + 96848.

It is an arithmetic number, because the mean of its divisors is an integer number (243716557).

Almost surely, 2^2782142180 is an apocalyptic number.

2782142180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782142180 is an abundant number, since it is smaller than the sum of its proper divisors (3067055188).

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

2782142180 is a wasteful number, since it uses less digits than its factorization.

2782142180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159503 (or 159501 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 2782142180 is about 52746.0157737056. The cubic root of 2782142180 is about 1406.4569394751.

The spelling of 2782142180 in words is "two billion, seven hundred eighty-two million, one hundred forty-two thousand, one hundred eighty".