2571484320 has 432 divisors, whose sum is σ = 9744265440. Its totient is φ = 638627328.

The previous prime is 2571484313. The next prime is 2571484327. The reversal of 2571484320 is 234841752.

It is a happy number.

2571484320 is a `hidden beast` number, since 2 + 571 + 4 + 84 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2571484313) and next prime (2571484327).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2571484320² = 13225063216011724800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2571484327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43584451 + ... + 43584509.

It is an arithmetic number, because the mean of its divisors is an integer number (22556170).

Almost surely, 2^2571484320 is an apocalyptic number.

2571484320 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 2571484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872132720).

2571484320 is an abundant number, since it is smaller than the sum of its proper divisors (7172781120).

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

2571484320 is an equidigital number, since it uses as much as digits as its factorization.

2571484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2571484320 is about 50709.8049690590. The cubic root of 2571484320 is about 1370.0233217477.

The spelling of 2571484320 in words is "two billion, five hundred seventy-one million, four hundred eighty-four thousand, three hundred twenty".