2134004100 has 72 divisors (see below), whose sum is σ = 6182187648. Its totient is φ = 568348800.

The previous prime is 2134004087. The next prime is 2134004107. The reversal of 2134004100 is 14004312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2134004100.

It is not an unprimeable number, because it can be changed into a prime (2134004107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259045 + ... + 267155.

Almost surely, 2^2134004100 is an apocalyptic number.

2134004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134004100 is an abundant number, since it is smaller than the sum of its proper divisors (4048183548).

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

2134004100 is a wasteful number, since it uses less digits than its factorization.

2134004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2134004100 is about 46195.2822266517. The cubic root of 2134004100 is about 1287.4540857727.

Adding to 2134004100 its reverse (14004312), we get a palindrome (2148008412).

The spelling of 2134004100 in words is "two billion, one hundred thirty-four million, four thousand, one hundred".