2516628528 has 120 divisors (see below), whose sum is σ = 7380322768. Its totient is φ = 830103552.

The previous prime is 2516628523. The next prime is 2516628581. The reversal of 2516628528 is 8258266152.

It is a happy number.

2516628528 is a `hidden beast` number, since 2 + 5 + 16 + 628 + 5 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2516628523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373800 + ... + 380472.

Almost surely, 2^2516628528 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 2516628528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690161384).

2516628528 is an abundant number, since it is smaller than the sum of its proper divisors (4863694240).

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

2516628528 is an equidigital number, since it uses as much as digits as its factorization.

2516628528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6775 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 2516628528 is about 50166.0096878354. The cubic root of 2516628528 is about 1360.2112791710.

The spelling of 2516628528 in words is "two billion, five hundred sixteen million, six hundred twenty-eight thousand, five hundred twenty-eight".