2420828007 has 8 divisors (see below), whose sum is σ = 3476060784. Its totient is φ = 1489740288.

The previous prime is 2420827973. The next prime is 2420828009. The reversal of 2420828007 is 7008280242.

2420828007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2420828007 - 2¹⁶ = 2420762471 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420828009) 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, 31036218 + ... + 31036295.

It is an arithmetic number, because the mean of its divisors is an integer number (434507598).

Almost surely, 2^2420828007 is an apocalyptic number.

2420828007 is a deficient number, since it is larger than the sum of its proper divisors (1055232777).

2420828007 is a wasteful number, since it uses less digits than its factorization.

2420828007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62072529.

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2420828007 is about 49201.9106031463. The cubic root of 2420828007 is about 1342.7277928400.

The spelling of 2420828007 in words is "two billion, four hundred twenty million, eight hundred twenty-eight thousand, seven".