2561457600 has 336 divisors, whose sum is σ = 10057932640. Its totient is φ = 630374400.

The previous prime is 2561457589. The next prime is 2561457673. The reversal of 2561457600 is 67541652.

It is a happy number.

2561457600 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 45 + 7 + 600 = 666.

It is a super-2 number, since 2×2561457600² = 13122130073195520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559320 + ... + 563880.

Almost surely, 2^2561457600 is an apocalyptic number.

2561457600 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 2561457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028966320).

2561457600 is an abundant number, since it is smaller than the sum of its proper divisors (7496475040).

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

2561457600 is a wasteful number, since it uses less digits than its factorization.

2561457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2561457600 is about 50610.8446876754. The cubic root of 2561457600 is about 1368.2403394290.

The spelling of 2561457600 in words is "two billion, five hundred sixty-one million, four hundred fifty-seven thousand, six hundred".