2671083520 has 256 divisors, whose sum is σ = 7813869120. Its totient is φ = 855638016.

The previous prime is 2671083487. The next prime is 2671083553. The reversal of 2671083520 is 253801762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2671083487) and next prime (2671083553).

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19496892 + ... + 19497028.

Almost surely, 2^2671083520 is an apocalyptic number.

2671083520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906934560).

2671083520 is an abundant number, since it is smaller than the sum of its proper divisors (5142785600).

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

2671083520 is an equidigital number, since it uses as much as digits as its factorization.

2671083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2671083520 is about 51682.5262540445. The cubic root of 2671083520 is about 1387.4877451505.

The spelling of 2671083520 in words is "two billion, six hundred seventy-one million, eighty-three thousand, five hundred twenty".