2561042000000 has 224 divisors, whose sum is σ = 6957346882320. Its totient is φ = 931280000000.

The previous prime is 2561041999981. The next prime is 2561042000051. The reversal of 2561042000000 is 2401652.

It is a happy number.

It is a super-2 number, since 2×2561042000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21941795 + ... + 22058205.

Almost surely, 2^{2561042000000} is an apocalyptic number.

2561042000000 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 2561042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478673441160).

2561042000000 is an abundant number, since it is smaller than the sum of its proper divisors (4396304882320).

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

2561042000000 is an frugal number, since it uses more digits than its factorization.

2561042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116466 (or 116429 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2561042000000 its reverse (2401652), we get a palindrome (2561044401652).

The spelling of 2561042000000 in words is "two trillion, five hundred sixty-one billion, forty-two million", and thus it is an aban number.