2598435840 has 704 divisors, whose sum is σ = 11224765440. Its totient is φ = 498401280.

The previous prime is 2598435821. The next prime is 2598435871. The reversal of 2598435840 is 485348952.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2598435840.

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 63 ways as a sum of consecutive naturals, for example, 199879674 + ... + 199879686.

Almost surely, 2^2598435840 is an apocalyptic number.

2598435840 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 2598435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612382720).

2598435840 is an abundant number, since it is smaller than the sum of its proper divisors (8626329600).

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

2598435840 is a wasteful number, since it uses less digits than its factorization.

2598435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2598435840 is about 50974.8549777241. The cubic root of 2598435840 is about 1374.7930646157.

The spelling of 2598435840 in words is "two billion, five hundred ninety-eight million, four hundred thirty-five thousand, eight hundred forty".