2048268100 has 72 divisors (see below), whose sum is σ = 4500602568. Its totient is φ = 809088000.

The previous prime is 2048268083. The next prime is 2048268109. The reversal of 2048268100 is 18628402.

It can be written as a sum of positive squares in 12 ways, for example, as 92505924 + 1955762176 = 9618^2 + 44224^2 .

It is a super-2 number, since 2×2048268100² = 8390804418955220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2048268109) 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, 3407800 + ... + 3408400.

It is an arithmetic number, because the mean of its divisors is an integer number (62508369).

Almost surely, 2^2048268100 is an apocalyptic number.

2048268100 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 2048268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250301284).

2048268100 is an abundant number, since it is smaller than the sum of its proper divisors (2452334468).

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

2048268100 is a wasteful number, since it uses less digits than its factorization.

2048268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2048268100 is about 45257.7960135047. The cubic root of 2048268100 is about 1269.9762535085.

The spelling of 2048268100 in words is "two billion, forty-eight million, two hundred sixty-eight thousand, one hundred".