2571117120 has 448 divisors, whose sum is σ = 10661172480. Its totient is φ = 575078400.

The previous prime is 2571117113. The next prime is 2571117149. The reversal of 2571117120 is 217111752.

2571117120 is a `hidden beast` number, since 2 + 571 + 1 + 1 + 71 + 20 = 666.

It is a super-2 number, since 2×2571117120² = 13221286489514188800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1234480 + ... + 1236560.

It is an arithmetic number, because the mean of its divisors is an integer number (23797260).

Almost surely, 2^2571117120 is an apocalyptic number.

2571117120 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 2571117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330586240).

2571117120 is an abundant number, since it is smaller than the sum of its proper divisors (8090055360).

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

2571117120 is a wasteful number, since it uses less digits than its factorization.

2571117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 2571117120 is about 50706.1842382169. The cubic root of 2571117120 is about 1369.9581069471.

Adding to 2571117120 its reverse (217111752), we get a palindrome (2788228872).

The spelling of 2571117120 in words is "two billion, five hundred seventy-one million, one hundred seventeen thousand, one hundred twenty".