2561275080 has 960 divisors, whose sum is σ = 11575373040. Its totient is φ = 501645312.

The previous prime is 2561275049. The next prime is 2561275081. The reversal of 2561275080 is 805721652.

It is a happy number.

2561275080 is a `hidden beast` number, since 25 + 6 + 127 + 508 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1064977956 + 1496297124 = 32634^2 + 38682^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2561275081) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35085924 + ... + 35085996.

Almost surely, 2^2561275080 is an apocalyptic number.

2561275080 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 2561275080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787686520).

2561275080 is an abundant number, since it is smaller than the sum of its proper divisors (9014097960).

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

2561275080 is a wasteful number, since it uses less digits than its factorization.

2561275080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2561275080 is about 50609.0414846992. The cubic root of 2561275080 is about 1368.2078400741.

The spelling of 2561275080 in words is "two billion, five hundred sixty-one million, two hundred seventy-five thousand, eighty".