2559451680 has 144 divisors (see below), whose sum is σ = 8790536664. Its totient is φ = 678113280.

The previous prime is 2559451679. The next prime is 2559451721. The reversal of 2559451680 is 861549552.

2559451680 is a `hidden beast` number, since 2 + 5 + 59 + 4 + 516 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1183635216 + 1375816464 = 34404^2 + 37092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220420 + ... + 231740.

Almost surely, 2^2559451680 is an apocalyptic number.

2559451680 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 2559451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395268332).

2559451680 is an abundant number, since it is smaller than the sum of its proper divisors (6231084984).

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

2559451680 is a wasteful number, since it uses less digits than its factorization.

2559451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2559451680 is about 50591.0237097452. The cubic root of 2559451680 is about 1367.8830822413.

The spelling of 2559451680 in words is "two billion, five hundred fifty-nine million, four hundred fifty-one thousand, six hundred eighty".