2561453334 has 64 divisors (see below), whose sum is σ = 6217378560. Its totient is φ = 775224000.

The previous prime is 2561453287. The next prime is 2561453339. The reversal of 2561453334 is 4333541652.

2561453334 is a `hidden beast` number, since 2 + 5 + 614 + 5 + 3 + 3 + 34 = 666.

It is a super-2 number, since 2×2561453334² = 13122086364519431112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561453339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574554 + ... + 578994.

It is an arithmetic number, because the mean of its divisors is an integer number (97146540).

Almost surely, 2^2561453334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561453334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108689280).

2561453334 is an abundant number, since it is smaller than the sum of its proper divisors (3655925226).

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

2561453334 is a wasteful number, since it uses less digits than its factorization.

2561453334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5428 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2561453334 is about 50610.8025425403. The cubic root of 2561453334 is about 1368.2395798463.

Adding to 2561453334 its reverse (4333541652), we get a palindrome (6894994986).

The spelling of 2561453334 in words is "two billion, five hundred sixty-one million, four hundred fifty-three thousand, three hundred thirty-four".