2101414400 has 60 divisors (see below), whose sum is σ = 5206450062. Its totient is φ = 840560640.

The previous prime is 2101414351. The next prime is 2101414411. The reversal of 2101414400 is 44141012.

It can be written as a sum of positive squares in 3 ways, for example, as 1977047296 + 124367104 = 44464^2 + 11152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69287 + ... + 94886.

Almost surely, 2^2101414400 is an apocalyptic number.

2101414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101414400 is an abundant number, since it is smaller than the sum of its proper divisors (3105035662).

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

2101414400 is an equidigital number, since it uses as much as digits as its factorization.

2101414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164201 (or 164180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2101414400 is about 45841.1867211136. The cubic root of 2101414400 is about 1280.8666006514.

Adding to 2101414400 its reverse (44141012), we get a palindrome (2145555412).

The spelling of 2101414400 in words is "two billion, one hundred one million, four hundred fourteen thousand, four hundred".