2520585312 has 96 divisors (see below), whose sum is σ = 7577805312. Its totient is φ = 718639104.

The previous prime is 2520585307. The next prime is 2520585317. The reversal of 2520585312 is 2135850252.

It is an interprime number because it is at equal distance from previous prime (2520585307) and next prime (2520585317).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520585317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 334288 + ... + 341744.

It is an arithmetic number, because the mean of its divisors is an integer number (78935472).

Almost surely, 2^2520585312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788902656).

2520585312 is an abundant number, since it is smaller than the sum of its proper divisors (5057220000).

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

2520585312 is a wasteful number, since it uses less digits than its factorization.

2520585312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2520585312 is about 50205.4311006289. The cubic root of 2520585312 is about 1360.9237726211.

The spelling of 2520585312 in words is "two billion, five hundred twenty million, five hundred eighty-five thousand, three hundred twelve".