2506017528 has 80 divisors (see below), whose sum is σ = 8021922480. Its totient is φ = 716003712.

The previous prime is 2506017523. The next prime is 2506017541. The reversal of 2506017528 is 8257106052.

It is a happy number.

2506017528 is a `hidden beast` number, since 25 + 0 + 601 + 7 + 5 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2506017492 and 2506017501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506017523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271701 + ... + 280772.

It is an arithmetic number, because the mean of its divisors is an integer number (100274031).

Almost surely, 2^2506017528 is an apocalyptic number.

2506017528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2506017528 is an abundant number, since it is smaller than the sum of its proper divisors (5515904952).

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

2506017528 is a wasteful number, since it uses less digits than its factorization.

2506017528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552498 (or 552485 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2506017528 is about 50060.1391128710. The cubic root of 2506017528 is about 1358.2968747019.

The spelling of 2506017528 in words is "two billion, five hundred six million, seventeen thousand, five hundred twenty-eight".