2002513670404 has 81 divisors (see below), whose sum is σ = 3902688695871. Its totient is φ = 898646374080.

The previous prime is 2002513670389. The next prime is 2002513670431. The reversal of 2002513670404 is 4040763152002.

The square root of 2002513670404 is 1415102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8317804804 + 1994195865600 = 91202^2 + 1412160^2 .

It is a super-2 number, since 2×2002513670404² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002513670404.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1361327389 + ... + 1361328859.

Almost surely, 2^{2002513670404} is an apocalyptic number.

2002513670404 is the 1415102-nd square number.

It is an amenable number.

2002513670404 is a deficient number, since it is larger than the sum of its proper divisors (1900175025467).

2002513670404 is an equidigital number, since it uses as much as digits as its factorization.

2002513670404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 2002513670404 in words is "two trillion, two billion, five hundred thirteen million, six hundred seventy thousand, four hundred four".