2671057620 has 960 divisors, whose sum is σ = 11708928000. Its totient is φ = 502951680.

The previous prime is 2671057549. The next prime is 2671057657. The reversal of 2671057620 is 267501762.

2671057620 is a `hidden beast` number, since 2 + 67 + 1 + 0 + 576 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 116132929 + ... + 116132951.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^2671057620 is an apocalyptic number.

2671057620 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 2671057620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464000).

2671057620 is an abundant number, since it is smaller than the sum of its proper divisors (9037870380).

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

2671057620 is a wasteful number, since it uses less digits than its factorization.

2671057620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2671057620 is about 51682.2756851902. The cubic root of 2671057620 is about 1387.4832605723.

The spelling of 2671057620 in words is "two billion, six hundred seventy-one million, fifty-seven thousand, six hundred twenty".