2528918496 has 336 divisors, whose sum is σ = 8329184640. Its totient is φ = 750228480.

The previous prime is 2528918489. The next prime is 2528918503. The reversal of 2528918496 is 6948198252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2528918489) and next prime (2528918503).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9401050 + ... + 9401318.

It is an arithmetic number, because the mean of its divisors is an integer number (24789240).

Almost surely, 2^2528918496 is an apocalyptic number.

2528918496 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 2528918496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164592320).

2528918496 is an abundant number, since it is smaller than the sum of its proper divisors (5800266144).

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

2528918496 is a wasteful number, since it uses less digits than its factorization.

2528918496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 2528918496 is about 50288.3534826902. The cubic root of 2528918496 is about 1362.4218840943.

The spelling of 2528918496 in words is "two billion, five hundred twenty-eight million, nine hundred eighteen thousand, four hundred ninety-six".