2581006512 has 160 divisors (see below), whose sum is σ = 8119480320. Its totient is φ = 690059520.

The previous prime is 2581006511. The next prime is 2581006517. The reversal of 2581006512 is 2156001852.

It is a super-2 number, since 2×2581006512² = 13323189229972812288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2581006512.

It is not an unprimeable number, because it can be changed into a prime (2581006511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527437 + ... + 532307.

It is an arithmetic number, because the mean of its divisors is an integer number (50746752).

Almost surely, 2^2581006512 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 2581006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059740160).

2581006512 is an abundant number, since it is smaller than the sum of its proper divisors (5538473808).

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

2581006512 is a wasteful number, since it uses less digits than its factorization.

2581006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 2581006512 is about 50803.6072734998. The cubic root of 2581006512 is about 1371.7123015886.

The spelling of 2581006512 in words is "two billion, five hundred eighty-one million, six thousand, five hundred twelve".