2561137488 has 480 divisors, whose sum is σ = 9475643520. Its totient is φ = 656087040.

The previous prime is 2561137487. The next prime is 2561137493. The reversal of 2561137488 is 8847311652.

2561137488 is a `hidden beast` number, since 2 + 56 + 113 + 7 + 488 = 666.

2561137488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561137483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11282431 + ... + 11282657.

It is an arithmetic number, because the mean of its divisors is an integer number (19740924).

Almost surely, 2^2561137488 is an apocalyptic number.

2561137488 is a gapful number since it is divisible by the number (28) 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 2561137488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737821760).

2561137488 is an abundant number, since it is smaller than the sum of its proper divisors (6914506032).

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

2561137488 is a wasteful number, since it uses less digits than its factorization.

2561137488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 2561137488 is about 50607.6821045975. The cubic root of 2561137488 is about 1368.1833395397.

The spelling of 2561137488 in words is "two billion, five hundred sixty-one million, one hundred thirty-seven thousand, four hundred eighty-eight".