2561001466000 has 40 divisors (see below), whose sum is σ = 6192501549624. Its totient is φ = 1024400585600.

The previous prime is 2561001465983. The next prime is 2561001466091. The reversal of 2561001466000 is 6641001652.

It can be written as a sum of positive squares in 4 ways, for example, as 37275252624 + 2523726213376 = 193068^2 + 1588624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640248367 + ... + 640252366.

Almost surely, 2^{2561001466000} is an apocalyptic number.

2561001466000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561001466000 is an abundant number, since it is smaller than the sum of its proper divisors (3631500083624).

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

2561001466000 is a wasteful number, since it uses less digits than its factorization.

2561001466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280500756 (or 1280500740 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 2561001466000 its reverse (6641001652), we get a palindrome (2567642467652).

The spelling of 2561001466000 in words is "two trillion, five hundred sixty-one billion, one million, four hundred sixty-six thousand".