2571264000 has 560 divisors, whose sum is σ = 9895856256. Its totient is φ = 663552000.

The previous prime is 2571263963. The next prime is 2571264019. The reversal of 2571264000 is 4621752.

2571264000 is a `hidden beast` number, since 2 + 5 + 7 + 12 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×2571264000² = 13222797115392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943985 + ... + 82944015.

Almost surely, 2^2571264000 is an apocalyptic number.

2571264000 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 2571264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947928128).

2571264000 is an abundant number, since it is smaller than the sum of its proper divisors (7324592256).

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

2571264000 is an frugal number, since it uses more digits than its factorization.

2571264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

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

The square root of 2571264000 is about 50707.6325615779. The cubic root of 2571264000 is about 1369.9841936124.

Adding to 2571264000 its reverse (4621752), we get a palindrome (2575885752).

The spelling of 2571264000 in words is "two billion, five hundred seventy-one million, two hundred sixty-four thousand".