2134400020 has 24 divisors (see below), whose sum is σ = 4491172224. Its totient is φ = 852058656.

The previous prime is 2134400011. The next prime is 2134400041. The reversal of 2134400020 is 200044312.

It is a junction number, because it is equal to n+sod(n) for n = 2134399967 and 2134400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96024 + ... + 116143.

It is an arithmetic number, because the mean of its divisors is an integer number (187132176).

Almost surely, 2^2134400020 is an apocalyptic number.

2134400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134400020 is an abundant number, since it is smaller than the sum of its proper divisors (2356772204).

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

2134400020 is a wasteful number, since it uses less digits than its factorization.

2134400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212679 (or 212677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2134400020 is about 46199.5673139912. The cubic root of 2134400020 is about 1287.5337009433.

Adding to 2134400020 its reverse (200044312), we get a palindrome (2334444332).

The spelling of 2134400020 in words is "two billion, one hundred thirty-four million, four hundred thousand, twenty".