2853663582 has 64 divisors (see below), whose sum is σ = 7151616000. Its totient is φ = 737462880.

The previous prime is 2853663581. The next prime is 2853663601.

2853663582 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853663581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76419 + ... + 107457.

It is an arithmetic number, because the mean of its divisors is an integer number (111744000).

Almost surely, 2^2853663582 is an apocalyptic number.

2853663582 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2853663582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575808000).

2853663582 is an abundant number, since it is smaller than the sum of its proper divisors (4297952418).

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

2853663582 is a wasteful number, since it uses less digits than its factorization.

2853663582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31261.

The product of its digits is 2073600, while the sum is 48.

The square root of 2853663582 is about 53419.6928295175. The cubic root of 2853663582 is about 1418.4071907434.

It can be divided in two parts, 2853 and 663582, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 2853663582 in words is "two billion, eight hundred fifty-three million, six hundred sixty-three thousand, five hundred eighty-two".