2571520000 has 360 divisors, whose sum is σ = 7656478830. Its totient is φ = 860160000.

The previous prime is 2571519931. The next prime is 2571520001. The reversal of 2571520000 is 251752.

It can be written as a sum of positive squares in 5 ways, for example, as 76317696 + 2495202304 = 8736^2 + 49952^2 .

It is a super-2 number, since 2×2571520000² = 13225430220800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2571520001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62719980 + ... + 62720020.

Almost surely, 2^2571520000 is an apocalyptic number.

2571520000 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 2571520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828239415).

2571520000 is an abundant number, since it is smaller than the sum of its proper divisors (5084958830).

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

2571520000 is an frugal number, since it uses more digits than its factorization.

2571520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 2571520000 is about 50710.1567735695. The cubic root of 2571520000 is about 1370.0296581925.

Adding to 2571520000 its reverse (251752), we get a palindrome (2571771752).

The spelling of 2571520000 in words is "two billion, five hundred seventy-one million, five hundred twenty thousand".