2100201480 has 256 divisors, whose sum is σ = 7936992000. Its totient is φ = 489701376.

The previous prime is 2100201473. The next prime is 2100201487. The reversal of 2100201480 is 841020012.

It is an interprime number because it is at equal distance from previous prime (2100201473) and next prime (2100201487).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100201487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262824 + ... + 270696.

It is an arithmetic number, because the mean of its divisors is an integer number (31003875).

Almost surely, 2^2100201480 is an apocalyptic number.

2100201480 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 2100201480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968496000).

2100201480 is an abundant number, since it is smaller than the sum of its proper divisors (5836790520).

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

2100201480 is a wasteful number, since it uses less digits than its factorization.

2100201480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2100201480 is about 45827.9552238587. The cubic root of 2100201480 is about 1280.6201178191.

Adding to 2100201480 its reverse (841020012), we get a palindrome (2941221492).

The spelling of 2100201480 in words is "two billion, one hundred million, two hundred one thousand, four hundred eighty".