2559076416 has 420 divisors, whose sum is σ = 8638958592. Its totient is φ = 747242496.

The previous prime is 2559076409. The next prime is 2559076423. The reversal of 2559076416 is 6146709552.

It is an interprime number because it is at equal distance from previous prime (2559076409) and next prime (2559076423).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20150145 + ... + 20150271.

Almost surely, 2^2559076416 is an apocalyptic number.

2559076416 is a gapful number since it is divisible by the number (26) 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 2559076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319479296).

2559076416 is an abundant number, since it is smaller than the sum of its proper divisors (6079882176).

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

2559076416 is a wasteful number, since it uses less digits than its factorization.

2559076416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2559076416 is about 50587.3147735675. The cubic root of 2559076416 is about 1367.8162264677.

The spelling of 2559076416 in words is "two billion, five hundred fifty-nine million, seventy-six thousand, four hundred sixteen".