2561272272 has 320 divisors, whose sum is σ = 8399462400. Its totient is φ = 741312000.

The previous prime is 2561272271. The next prime is 2561272277. The reversal of 2561272272 is 2722721652.

2561272272 is a `hidden beast` number, since 2 + 561 + 2 + 7 + 22 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561272271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10204147 + ... + 10204397.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^2561272272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561272272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

2561272272 is an abundant number, since it is smaller than the sum of its proper divisors (5838190128).

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

2561272272 is a wasteful number, since it uses less digits than its factorization.

2561272272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 2561272272 is about 50609.0137426131. The cubic root of 2561272272 is about 1368.2073400720.

The spelling of 2561272272 in words is "two billion, five hundred sixty-one million, two hundred seventy-two thousand, two hundred seventy-two".