2100406464 has 196 divisors, whose sum is σ = 6731778256. Its totient is φ = 646092288.

The previous prime is 2100406459. The next prime is 2100406499. The reversal of 2100406464 is 4646040012.

2100406464 is a `hidden beast` number, since 2 + 10 + 0 + 4 + 0 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 604797 + ... + 608259.

Almost surely, 2^2100406464 is an apocalyptic number.

2100406464 is a gapful number since it is divisible by the number (24) 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 2100406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365889128).

2100406464 is an abundant number, since it is smaller than the sum of its proper divisors (4631371792).

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

2100406464 is an equidigital number, since it uses as much as digits as its factorization.

2100406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2100406464 is about 45830.1916208082. The cubic root of 2100406464 is about 1280.6617801861.

Adding to 2100406464 its reverse (4646040012), we get a palindrome (6746446476).

The spelling of 2100406464 in words is "two billion, one hundred million, four hundred six thousand, four hundred sixty-four".