2598838560 has 384 divisors, whose sum is σ = 9514713600. Its totient is φ = 661893120.

The previous prime is 2598838559. The next prime is 2598838579. The reversal of 2598838560 is 658388952.

2598838560 is a `hidden beast` number, since 259 + 8 + 8 + 385 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2598838497 and 2598838506.

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 63 ways as a sum of consecutive naturals, for example, 11348526 + ... + 11348754.

It is an arithmetic number, because the mean of its divisors is an integer number (24777900).

Almost surely, 2^2598838560 is an apocalyptic number.

2598838560 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 2598838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757356800).

2598838560 is an abundant number, since it is smaller than the sum of its proper divisors (6915875040).

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

2598838560 is a wasteful number, since it uses less digits than its factorization.

2598838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 2598838560 is about 50978.8050075715. The cubic root of 2598838560 is about 1374.8640852985.

It can be divided in two parts, 25988385 and 60, that added together give a triangular number (25988445 = T₇₂₀₉).

The spelling of 2598838560 in words is "two billion, five hundred ninety-eight million, eight hundred thirty-eight thousand, five hundred sixty".