2081552100 has 144 divisors (see below), whose sum is σ = 6130732608. Its totient is φ = 545218560.

The previous prime is 2081552093. The next prime is 2081552101. The reversal of 2081552100 is 12551802.

It is not an unprimeable number, because it can be changed into a prime (2081552101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6780147 + ... + 6780453.

It is an arithmetic number, because the mean of its divisors is an integer number (42574532).

Almost surely, 2^2081552100 is an apocalyptic number.

2081552100 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 2081552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065366304).

2081552100 is an abundant number, since it is smaller than the sum of its proper divisors (4049180508).

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

2081552100 is a wasteful number, since it uses less digits than its factorization.

2081552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 2081552100 is about 45624.0298526993. The cubic root of 2081552100 is about 1276.8182899615.

The spelling of 2081552100 in words is "two billion, eighty-one million, five hundred fifty-two thousand, one hundred".