2559498480 has 480 divisors, whose sum is σ = 11082624000. Its totient is φ = 531463680.

The previous prime is 2559498463. The next prime is 2559498481. The reversal of 2559498480 is 848949552.

It is a happy number.

2559498480 is a `hidden beast` number, since 2 + 5 + 594 + 9 + 8 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559498481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828821 + ... + 1830219.

It is an arithmetic number, because the mean of its divisors is an integer number (23088800).

Almost surely, 2^2559498480 is an apocalyptic number.

2559498480 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 2559498480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312000).

2559498480 is an abundant number, since it is smaller than the sum of its proper divisors (8523125520).

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

2559498480 is a wasteful number, since it uses less digits than its factorization.

2559498480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

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

The square root of 2559498480 is about 50591.4862402756. The cubic root of 2559498480 is about 1367.8914195137.

The spelling of 2559498480 in words is "two billion, five hundred fifty-nine million, four hundred ninety-eight thousand, four hundred eighty".