2528890460448 has 96 divisors (see below), whose sum is σ = 7244280671040. Its totient is φ = 766070338560.

The previous prime is 2528890460441. The next prime is 2528890460471. The reversal of 2528890460448 is 8440640988252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2528890460391 and 2528890460400.

It is not an unprimeable number, because it can be changed into a prime (2528890460441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717658 + ... + 3527526.

It is an arithmetic number, because the mean of its divisors is an integer number (75461256990).

Almost surely, 2^{2528890460448} 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 2528890460448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622140335520).

2528890460448 is an abundant number, since it is smaller than the sum of its proper divisors (4715390210592).

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

2528890460448 is a wasteful number, since it uses less digits than its factorization.

2528890460448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812850 (or 812842 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 2528890460448 in words is "two trillion, five hundred twenty-eight billion, eight hundred ninety million, four hundred sixty thousand, four hundred forty-eight".