2561606814 has 64 divisors (see below), whose sum is σ = 5590609920. Its totient is φ = 777790080.

The previous prime is 2561606813. The next prime is 2561606833. The reversal of 2561606814 is 4186061652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561606813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070204 + ... + 2071440.

It is an arithmetic number, because the mean of its divisors is an integer number (87353280).

Almost surely, 2^2561606814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561606814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795304960).

2561606814 is an abundant number, since it is smaller than the sum of its proper divisors (3029003106).

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

2561606814 is a wasteful number, since it uses less digits than its factorization.

2561606814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2561606814 is about 50612.3187969095. The cubic root of 2561606814 is about 1368.2669071991.

The spelling of 2561606814 in words is "two billion, five hundred sixty-one million, six hundred six thousand, eight hundred fourteen".