2561342406 has 96 divisors (see below), whose sum is σ = 6166637568. Its totient is φ = 706688640.

The previous prime is 2561342387. The next prime is 2561342453. The reversal of 2561342406 is 6042431652.

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, 1240531 + ... + 1242593.

It is an arithmetic number, because the mean of its divisors is an integer number (64235808).

Almost surely, 2^2561342406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561342406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083318784).

2561342406 is an abundant number, since it is smaller than the sum of its proper divisors (3605295162).

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

2561342406 is a wasteful number, since it uses less digits than its factorization.

2561342406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2561342406 is about 50609.7066381539. The cubic root of 2561342406 is about 1368.2198282637.

The spelling of 2561342406 in words is "two billion, five hundred sixty-one million, three hundred forty-two thousand, four hundred six".