2100214440 has 128 divisors (see below), whose sum is σ = 7011072000. Its totient is φ = 559229184.

The previous prime is 2100214427. The next prime is 2100214489. The reversal of 2100214440 is 444120012.

2100214440 is a `hidden beast` number, since 2 + 10 + 0 + 214 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173066 + ... + 1174854.

It is an arithmetic number, because the mean of its divisors is an integer number (54774000).

Almost surely, 2^2100214440 is an apocalyptic number.

2100214440 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 2100214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505536000).

2100214440 is an abundant number, since it is smaller than the sum of its proper divisors (4910857560).

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

2100214440 is a wasteful number, since it uses less digits than its factorization.

2100214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2100214440 is about 45828.0966220505. The cubic root of 2100214440 is about 1280.6227519795.

Adding to 2100214440 its reverse (444120012), we get a palindrome (2544334452).

The spelling of 2100214440 in words is "two billion, one hundred million, two hundred fourteen thousand, four hundred forty".