2528534736 has 180 divisors, whose sum is σ = 8757841248. Its totient is φ = 666821376.

The previous prime is 2528534731. The next prime is 2528534741. The reversal of 2528534736 is 6374358252.

2528534736 is a `hidden beast` number, since 2 + 528 + 53 + 4 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2528534731) and next prime (2528534741).

It is a super-2 number, since 2×2528534736² = 12786975822317179392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2528534691 and 2528534700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528534731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162931 + ... + 177773.

Almost surely, 2^2528534736 is an apocalyptic number.

2528534736 is a gapful number since it is divisible by the number (26) 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 2528534736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378920624).

2528534736 is an abundant number, since it is smaller than the sum of its proper divisors (6229306512).

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

2528534736 is a wasteful number, since it uses less digits than its factorization.

2528534736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14890 (or 14868 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2528534736 is about 50284.5377427296. The cubic root of 2528534736 is about 1362.3529653750.

The spelling of 2528534736 in words is "two billion, five hundred twenty-eight million, five hundred thirty-four thousand, seven hundred thirty-six".