2559451104 has 216 divisors, whose sum is σ = 8509377240. Its totient is φ = 727598592.

The previous prime is 2559451079. The next prime is 2559451159. The reversal of 2559451104 is 4011549552.

2559451104 is a `hidden beast` number, since 2 + 5 + 594 + 51 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4134507 + ... + 4135125.

It is an arithmetic number, because the mean of its divisors is an integer number (39395265).

Almost surely, 2^2559451104 is an apocalyptic number.

2559451104 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 2559451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254688620).

2559451104 is an abundant number, since it is smaller than the sum of its proper divisors (5949926136).

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

2559451104 is a wasteful number, since it uses less digits than its factorization.

2559451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2559451104 is about 50591.0180170354. The cubic root of 2559451104 is about 1367.8829796281.

It can be divided in two parts, 255945 and 1104, that added together give a square (257049 = 507²).

The spelling of 2559451104 in words is "two billion, five hundred fifty-nine million, four hundred fifty-one thousand, one hundred four".