2671202520 has 384 divisors, whose sum is σ = 10966026240. Its totient is φ = 549457920.

The previous prime is 2671202519. The next prime is 2671202561. The reversal of 2671202520 is 252021762.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983965 + ... + 986675.

It is an arithmetic number, because the mean of its divisors is an integer number (28557360).

Almost surely, 2^2671202520 is an apocalyptic number.

2671202520 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 2671202520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483013120).

2671202520 is an abundant number, since it is smaller than the sum of its proper divisors (8294823720).

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

2671202520 is a wasteful number, since it uses less digits than its factorization.

2671202520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2671202520 is about 51683.6775007352. The cubic root of 2671202520 is about 1387.5083495967.

The spelling of 2671202520 in words is "two billion, six hundred seventy-one million, two hundred two thousand, five hundred twenty".