2782013121 has 40 divisors (see below), whose sum is σ = 4202015400. Its totient is φ = 1834195968.

The previous prime is 2782013107. The next prime is 2782013159. The reversal of 2782013121 is 1213102872.

It can be written as a sum of positive squares in 4 ways, for example, as 505521 + 2781507600 = 711^2 + 52740^2 .

It is not a de Polignac number, because 2782013121 - 2⁷ = 2782012993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2782013021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4260031 + ... + 4260683.

It is an arithmetic number, because the mean of its divisors is an integer number (105050385).

Almost surely, 2^2782013121 is an apocalyptic number.

It is an amenable number.

2782013121 is a deficient number, since it is larger than the sum of its proper divisors (1420002279).

2782013121 is a wasteful number, since it uses less digits than its factorization.

2782013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2782013121 is about 52744.7923590566. The cubic root of 2782013121 is about 1406.4351913974.

Adding to 2782013121 its reverse (1213102872), we get a palindrome (3995115993).

The spelling of 2782013121 in words is "two billion, seven hundred eighty-two million, thirteen thousand, one hundred twenty-one".