2661528100 has 243 divisors, whose sum is σ = 7496615889. Its totient is φ = 817185600.

The previous prime is 2661528073. The next prime is 2661528169. The reversal of 2661528100 is 18251662.

The square root of 2661528100 is 51590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 958150116 + 1703377984 = 30954^2 + 41272^2 .

It is a super-2 number, since 2×2661528100² = 14167463654179220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39724267 + ... + 39724333.

Almost surely, 2^2661528100 is an apocalyptic number.

2661528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2661528100 is the 51590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661528100

2661528100 is an abundant number, since it is smaller than the sum of its proper divisors (4835087789).

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

2661528100 is a wasteful number, since it uses less digits than its factorization.

2661528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The cubic root of 2661528100 is about 1385.8312551764.

Adding to 2661528100 its reverse (18251662), we get a palindrome (2679779762).

The spelling of 2661528100 in words is "two billion, six hundred sixty-one million, five hundred twenty-eight thousand, one hundred".