2541626528 has 48 divisors (see below), whose sum is σ = 5755163904. Its totient is φ = 1082315520.

The previous prime is 2541626513. The next prime is 2541626539. The reversal of 2541626528 is 8256261452.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 968 + ... + 71303.

It is an arithmetic number, because the mean of its divisors is an integer number (119899248).

Almost surely, 2^2541626528 is an apocalyptic number.

2541626528 is a gapful number since it is divisible by the number (28) 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 2541626528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877581952).

2541626528 is an abundant number, since it is smaller than the sum of its proper divisors (3213537376).

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

2541626528 is a wasteful number, since it uses less digits than its factorization.

2541626528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72445 (or 72437 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 2541626528 is about 50414.5467895924. The cubic root of 2541626528 is about 1364.7001677001.

The spelling of 2541626528 in words is "two billion, five hundred forty-one million, six hundred twenty-six thousand, five hundred twenty-eight".