2571430680 has 384 divisors, whose sum is σ = 10486869120. Its totient is φ = 531947520.

The previous prime is 2571430669. The next prime is 2571430709. The reversal of 2571430680 is 860341752.

2571430680 is a `hidden beast` number, since 2 + 571 + 4 + 3 + 0 + 6 + 80 = 666.

It is a super-2 number, since 2×2571430680² = 13224511484090524800, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1735540 + ... + 1737020.

It is an arithmetic number, because the mean of its divisors is an integer number (27309555).

Almost surely, 2^2571430680 is an apocalyptic number.

2571430680 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 2571430680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243434560).

2571430680 is an abundant number, since it is smaller than the sum of its proper divisors (7915438440).

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

2571430680 is a wasteful number, since it uses less digits than its factorization.

2571430680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2571430680 is about 50709.2760745014. The cubic root of 2571430680 is about 1370.0137956591.

The spelling of 2571430680 in words is "two billion, five hundred seventy-one million, four hundred thirty thousand, six hundred eighty".