2530780560 has 480 divisors, whose sum is σ = 10696458240. Its totient is φ = 520934400.

The previous prime is 2530780529. The next prime is 2530780591. The reversal of 2530780560 is 650870352.

2530780560 is a `hidden beast` number, since 2 + 530 + 78 + 0 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2530780529) and next prime (2530780591).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10588921 + ... + 10589159.

It is an arithmetic number, because the mean of its divisors is an integer number (22284288).

Almost surely, 2^2530780560 is an apocalyptic number.

2530780560 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 2530780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348229120).

2530780560 is an abundant number, since it is smaller than the sum of its proper divisors (8165677680).

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

2530780560 is a wasteful number, since it uses less digits than its factorization.

2530780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2530780560 is about 50306.8639451914. The cubic root of 2530780560 is about 1362.7561896285.

The spelling of 2530780560 in words is "two billion, five hundred thirty million, seven hundred eighty thousand, five hundred sixty".