2571601084416 has 1344 divisors, whose sum is σ = 9717292563300. Its totient is φ = 678224461824.

The previous prime is 2571601084411. The next prime is 2571601084417. The reversal of 2571601084416 is 6144801061752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2571601084416 is a `hidden beast` number, since 2 + 5 + 71 + 60 + 108 + 4 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 801211170816 + 1770389913600 = 895104^2 + 1330560^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2571601084416² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2571601084411) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 197815468026 + ... + 197815468038.

Almost surely, 2^{2571601084416} is an apocalyptic number.

2571601084416 is a gapful number since it is divisible by the number (26) 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 2571601084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858646281650).

2571601084416 is an abundant number, since it is smaller than the sum of its proper divisors (7145691478884).

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

2571601084416 is an frugal number, since it uses more digits than its factorization.

2571601084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2571601084416 in words is "two trillion, five hundred seventy-one billion, six hundred one million, eighty-four thousand, four hundred sixteen".