2560627104 has 144 divisors (see below), whose sum is σ = 7840330848. Its totient is φ = 729619968.

The previous prime is 2560627103. The next prime is 2560627177. The reversal of 2560627104 is 4017260652.

It is a super-2 number, since 2×2560627104² = 13113622331478853632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2560627103) 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, 3212434 + ... + 3213230.

It is an arithmetic number, because the mean of its divisors is an integer number (54446742).

Almost surely, 2^2560627104 is an apocalyptic number.

2560627104 is a gapful number since it is divisible by the number (24) 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 2560627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920165424).

2560627104 is an abundant number, since it is smaller than the sum of its proper divisors (5279703744).

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

2560627104 is a wasteful number, since it uses less digits than its factorization.

2560627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2560627104 is about 50602.6392987559. The cubic root of 2560627104 is about 1368.0924495505.

Adding to 2560627104 its reverse (4017260652), we get a palindrome (6577887756).

The spelling of 2560627104 in words is "two billion, five hundred sixty million, six hundred twenty-seven thousand, one hundred four".