2134420420 has 96 divisors (see below), whose sum is σ = 4995809280. Its totient is φ = 759507840.

The previous prime is 2134420411. The next prime is 2134420429. The reversal of 2134420420 is 240244312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2134420411) and next prime (2134420429).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2134420391 and 2134420400.

It is not an unprimeable number, because it can be changed into a prime (2134420429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206777 + ... + 2207743.

It is an arithmetic number, because the mean of its divisors is an integer number (52039680).

Almost surely, 2^2134420420 is an apocalyptic number.

2134420420 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 2134420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497904640).

2134420420 is an abundant number, since it is smaller than the sum of its proper divisors (2861388860).

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

2134420420 is a wasteful number, since it uses less digits than its factorization.

2134420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2134420420 is about 46199.7880947521. The cubic root of 2134420420 is about 1287.5378028929.

Adding to 2134420420 its reverse (240244312), we get a palindrome (2374664732).

The spelling of 2134420420 in words is "two billion, one hundred thirty-four million, four hundred twenty thousand, four hundred twenty".