2100414400 has 252 divisors, whose sum is σ = 6111105888. Its totient is φ = 708341760.

The previous prime is 2100414391. The next prime is 2100414427. The reversal of 2100414400 is 44140012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5723017 + ... + 5723383.

Almost surely, 2^2100414400 is an apocalyptic number.

2100414400 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 2100414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055552944).

2100414400 is an abundant number, since it is smaller than the sum of its proper divisors (4010691488).

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

2100414400 is a wasteful number, since it uses less digits than its factorization.

2100414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2100414400 is about 45830.2782012067. The cubic root of 2100414400 is about 1280.6633930991.

Adding to 2100414400 its reverse (44140012), we get a palindrome (2144554412).

The spelling of 2100414400 in words is "two billion, one hundred million, four hundred fourteen thousand, four hundred".