2559011664 has 80 divisors (see below), whose sum is σ = 7234983360. Its totient is φ = 772961280.

The previous prime is 2559011659. The next prime is 2559011669. The reversal of 2559011664 is 4661109552.

It is an interprime number because it is at equal distance from previous prime (2559011659) and next prime (2559011669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559011669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159732 + ... + 175020.

It is an arithmetic number, because the mean of its divisors is an integer number (90437292).

Almost surely, 2^2559011664 is an apocalyptic number.

2559011664 is a gapful number since it is divisible by the number (24) 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 2559011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617491680).

2559011664 is an abundant number, since it is smaller than the sum of its proper divisors (4675971696).

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

2559011664 is a wasteful number, since it uses less digits than its factorization.

2559011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15628 (or 15622 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 2559011664 is about 50586.6747671756. The cubic root of 2559011664 is about 1367.8046898077.

The spelling of 2559011664 in words is "two billion, five hundred fifty-nine million, eleven thousand, six hundred sixty-four".