2598360480 has 144 divisors (see below), whose sum is σ = 9153091584. Its totient is φ = 670533120.

The previous prime is 2598360469. The next prime is 2598360487. The reversal of 2598360480 is 840638952.

2598360480 is a `hidden beast` number, since 25 + 98 + 3 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2598360487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15537 + ... + 73743.

It is an arithmetic number, because the mean of its divisors is an integer number (63563136).

Almost surely, 2^2598360480 is an apocalyptic number.

2598360480 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 2598360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576545792).

2598360480 is an abundant number, since it is smaller than the sum of its proper divisors (6554731104).

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

2598360480 is a wasteful number, since it uses less digits than its factorization.

2598360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58259 (or 58248 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2598360480 is about 50974.1157843861. The cubic root of 2598360480 is about 1374.7797738755.

The spelling of 2598360480 in words is "two billion, five hundred ninety-eight million, three hundred sixty thousand, four hundred eighty".