2504721416002 has 32 divisors (see below), whose sum is σ = 4125223026288. Its totient is φ = 1133598468096.

The previous prime is 2504721415997. The next prime is 2504721416009. The reversal of 2504721416002 is 2006141274052.

2504721416002 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 8 ways, for example, as 1903707303001 + 601014113001 = 1379749^2 + 775251^2 .

It is not an unprimeable number, because it can be changed into a prime (2504721416009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3485703 + ... + 4142410.

Almost surely, 2^{2504721416002} is an apocalyptic number.

2504721416002 is a deficient number, since it is larger than the sum of its proper divisors (1620501610286).

2504721416002 is a wasteful number, since it uses less digits than its factorization.

2504721416002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628374.

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 2504721416002 in words is "two trillion, five hundred four billion, seven hundred twenty-one million, four hundred sixteen thousand, two".