2598641280 has 384 divisors, whose sum is σ = 9509011200. Its totient is φ = 652861440.

The previous prime is 2598641263. The next prime is 2598641303. The reversal of 2598641280 is 821468952.

2598641280 is a `hidden beast` number, since 259 + 86 + 41 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 7850715 + ... + 7851045.

It is an arithmetic number, because the mean of its divisors is an integer number (24763050).

Almost surely, 2^2598641280 is an apocalyptic number.

2598641280 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 2598641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754505600).

2598641280 is an abundant number, since it is smaller than the sum of its proper divisors (6910369920).

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

2598641280 is a wasteful number, since it uses less digits than its factorization.

2598641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2598641280 is about 50976.8700490723. The cubic root of 2598641280 is about 1374.8292953921.

The spelling of 2598641280 in words is "two billion, five hundred ninety-eight million, six hundred forty-one thousand, two hundred eighty".