2561421654000 has 1920 divisors, whose sum is σ = 11000471639040. Its totient is φ = 551992320000.

The previous prime is 2561421653939. The next prime is 2561421654013. The reversal of 2561421654000 is 4561241652.

2561421654000 is a `hidden beast` number, since 2 + 5 + 61 + 42 + 16 + 540 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 7738433835 + ... + 7738434165.

It is an arithmetic number, because the mean of its divisors is an integer number (5729412312).

Almost surely, 2^{2561421654000} is an apocalyptic number.

2561421654000 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 2561421654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500235819520).

2561421654000 is an abundant number, since it is smaller than the sum of its proper divisors (8439049985040).

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

2561421654000 is a wasteful number, since it uses less digits than its factorization.

2561421654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 2561421654000 its reverse (4561241652), we get a palindrome (2565982895652).

The spelling of 2561421654000 in words is "two trillion, five hundred sixty-one billion, four hundred twenty-one million, six hundred fifty-four thousand".