2598365952 has 648 divisors, whose sum is σ = 10137962016. Its totient is φ = 644972544.

The previous prime is 2598365941. The next prime is 2598365963. The reversal of 2598365952 is 2595638952.

It is an interprime number because it is at equal distance from previous prime (2598365941) and next prime (2598365963).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152845048 + ... + 152845064.

Almost surely, 2^2598365952 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 2598365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068981008).

2598365952 is an abundant number, since it is smaller than the sum of its proper divisors (7539596064).

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

2598365952 is an frugal number, since it uses more digits than its factorization.

2598365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 2598365952 is about 50974.1694586582. The cubic root of 2598365952 is about 1374.7807389443.

The spelling of 2598365952 in words is "two billion, five hundred ninety-eight million, three hundred sixty-five thousand, nine hundred fifty-two".