2506512 has 40 divisors (see below), whose sum is σ = 6567040. Its totient is φ = 823680.

The previous prime is 2506501. The next prime is 2506523. The reversal of 2506512 is 2156052.

It is an interprime number because it is at equal distance from previous prime (2506501) and next prime (2506523).

It is a super-2 number, since 2×2506512² = 12565204812288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3462 + ... + 4122.

It is an arithmetic number, because the mean of its divisors is an integer number (164176).

2^2506512 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 2506512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283520).

2506512 is an abundant number, since it is smaller than the sum of its proper divisors (4060528).

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

2506512 is a wasteful number, since it uses less digits than its factorization.

2506512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2506512 is about 1583.1967660402. The cubic root of 2506512 is about 135.8386205761.

The spelling of 2506512 in words is "two million, five hundred six thousand, five hundred twelve".