2530188864 has 168 divisors, whose sum is σ = 8336572608. Its totient is φ = 718709760.

The previous prime is 2530188851. The next prime is 2530188893. The reversal of 2530188864 is 4688810352.

2530188864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2530188864² = 12803711375019220992, which contains 22 as substring.

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, 728059 + ... + 731525.

It is an arithmetic number, because the mean of its divisors is an integer number (49622456).

Almost surely, 2^2530188864 is an apocalyptic number.

2530188864 is a gapful number since it is divisible by the number (24) 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 2530188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168286304).

2530188864 is an abundant number, since it is smaller than the sum of its proper divisors (5806383744).

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

2530188864 is a wasteful number, since it uses less digits than its factorization.

2530188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2530188864 is about 50300.9827339387. The cubic root of 2530188864 is about 1362.6499773071.

The spelling of 2530188864 in words is "two billion, five hundred thirty million, one hundred eighty-eight thousand, eight hundred sixty-four".