2571268100 has 72 divisors (see below), whose sum is σ = 5931912000. Its totient is φ = 964656000.

The previous prime is 2571268079. The next prime is 2571268103. The reversal of 2571268100 is 18621752.

It is a super-2 number, since 2×2571268100² = 13222839284155220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2571268103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185201 + ... + 198599.

Almost surely, 2^2571268100 is an apocalyptic number.

2571268100 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 2571268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965956000).

2571268100 is an abundant number, since it is smaller than the sum of its proper divisors (3360643900).

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

2571268100 is a wasteful number, since it uses less digits than its factorization.

2571268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13533 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 2571268100 is about 50707.6729894007. The cubic root of 2571268100 is about 1369.9849217798.

Adding to 2571268100 its reverse (18621752), we get a palindrome (2589889852).

The spelling of 2571268100 in words is "two billion, five hundred seventy-one million, two hundred sixty-eight thousand, one hundred".