2598273216 has 252 divisors, whose sum is σ = 9452107080. Its totient is φ = 674795520.

The previous prime is 2598273191. The next prime is 2598273239. The reversal of 2598273216 is 6123728952.

2598273216 is a `hidden beast` number, since 2 + 598 + 27 + 32 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306280 + ... + 314648.

Almost surely, 2^2598273216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2598273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726053540).

2598273216 is an abundant number, since it is smaller than the sum of its proper divisors (6853833864).

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

2598273216 is a wasteful number, since it uses less digits than its factorization.

2598273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8392 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2598273216 is about 50973.2598133570. The cubic root of 2598273216 is about 1374.7643833852.

The spelling of 2598273216 in words is "two billion, five hundred ninety-eight million, two hundred seventy-three thousand, two hundred sixteen".