2530829600 has 144 divisors (see below), whose sum is σ = 6834515688. Its totient is φ = 909066240.

The previous prime is 2530829597. The next prime is 2530829669. The reversal of 2530829600 is 69280352.

It can be written as a sum of positive squares in 12 ways, for example, as 869778064 + 1661051536 = 29492^2 + 40756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381512 + ... + 388088.

Almost surely, 2^2530829600 is an apocalyptic number.

2530829600 is a gapful number since it is divisible by the number (20) 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 2530829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417257844).

2530829600 is an abundant number, since it is smaller than the sum of its proper divisors (4303686088).

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

2530829600 is a wasteful number, since it uses less digits than its factorization.

2530829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2530829600 is about 50307.3513514675. The cubic root of 2530829600 is about 1362.7649918051.

The spelling of 2530829600 in words is "two billion, five hundred thirty million, eight hundred twenty-nine thousand, six hundred".