2820124134 has 32 divisors (see below), whose sum is σ = 6596784000. Its totient is φ = 890565192.

The previous prime is 2820124133. The next prime is 2820124159. The reversal of 2820124134 is 4314210282.

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

It is a junction number, because it is equal to n+sod(n) for n = 2820124098 and 2820124107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820124133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1373304 + ... + 1375355.

It is an arithmetic number, because the mean of its divisors is an integer number (206149500).

Almost surely, 2^2820124134 is an apocalyptic number.

2820124134 is an abundant number, since it is smaller than the sum of its proper divisors (3776659866).

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

2820124134 is a wasteful number, since it uses less digits than its factorization.

2820124134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748689 (or 2748683 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2820124134 is about 53104.8409657726. The cubic root of 2820124134 is about 1412.8283742667.

It can be divided in two parts, 282012 and 4134, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 2820124134 in words is "two billion, eight hundred twenty million, one hundred twenty-four thousand, one hundred thirty-four".