2002560345 has 48 divisors (see below), whose sum is σ = 3607016400. Its totient is φ = 1026547200.

The previous prime is 2002560341. The next prime is 2002560367. The reversal of 2002560345 is 5430652002.

It can be written as a sum of positive squares in 8 ways, for example, as 46090521 + 1956469824 = 6789^2 + 44232^2 .

It is not a de Polignac number, because 2002560345 - 2² = 2002560341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002560341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295495 + ... + 302195.

It is an arithmetic number, because the mean of its divisors is an integer number (75146175).

Almost surely, 2^2002560345 is an apocalyptic number.

It is an amenable number.

2002560345 is a deficient number, since it is larger than the sum of its proper divisors (1604456055).

2002560345 is a wasteful number, since it uses less digits than its factorization.

2002560345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2002560345 is about 44749.9759217812. The cubic root of 2002560345 is about 1260.4584593945.

The spelling of 2002560345 in words is "two billion, two million, five hundred sixty thousand, three hundred forty-five".