2560206376 has 128 divisors (see below), whose sum is σ = 6251212800. Its totient is φ = 954581760.

The previous prime is 2560206347. The next prime is 2560206377. The reversal of 2560206376 is 6736020652.

It is a super-2 number, since 2×2560206376² = 13109313375422106752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2560206377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3748131 + ... + 3748813.

It is an arithmetic number, because the mean of its divisors is an integer number (48837600).

Almost surely, 2^2560206376 is an apocalyptic number.

2560206376 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 2560206376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

2560206376 is an abundant number, since it is smaller than the sum of its proper divisors (3691006424).

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

2560206376 is a wasteful number, since it uses less digits than its factorization.

2560206376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 2560206376 is about 50598.4819535132. The cubic root of 2560206376 is about 1368.0175165615.

The spelling of 2560206376 in words is "two billion, five hundred sixty million, two hundred six thousand, three hundred seventy-six".