2100416940 has 96 divisors (see below), whose sum is σ = 6878592000. Its totient is φ = 530629056.

The previous prime is 2100416939. The next prime is 2100416947. The reversal of 2100416940 is 496140012.

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

It is not an unprimeable number, because it can be changed into a prime (2100416947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92100 + ... + 112619.

It is an arithmetic number, because the mean of its divisors is an integer number (71652000).

Almost surely, 2^2100416940 is an apocalyptic number.

2100416940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100416940 is an abundant number, since it is smaller than the sum of its proper divisors (4778175060).

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

2100416940 is a wasteful number, since it uses less digits than its factorization.

2100416940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204756 (or 204748 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2100416940 is about 45830.3059121363. The cubic root of 2100416940 is about 1280.6639093280.

Adding to 2100416940 its reverse (496140012), we get a palindrome (2596556952).

The spelling of 2100416940 in words is "two billion, one hundred million, four hundred sixteen thousand, nine hundred forty".