2560481280 has 672 divisors, whose sum is σ = 10742004000. Its totient is φ = 585252864.

The previous prime is 2560481267. The next prime is 2560481293. The reversal of 2560481280 is 821840652.

2560481280 is a `hidden beast` number, since 2 + 560 + 4 + 8 + 12 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2560481267) and next prime (2560481293).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 365783037 + ... + 365783043.

It is an arithmetic number, because the mean of its divisors is an integer number (15985125).

Almost surely, 2^2560481280 is an apocalyptic number.

2560481280 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 2560481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371002000).

2560481280 is an abundant number, since it is smaller than the sum of its proper divisors (8181522720).

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

2560481280 is an frugal number, since it uses more digits than its factorization.

2560481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2560481280 is about 50601.1984047809. The cubic root of 2560481280 is about 1368.0664787638.

The spelling of 2560481280 in words is "two billion, five hundred sixty million, four hundred eighty-one thousand, two hundred eighty".