2134020800 has 84 divisors (see below), whose sum is σ = 5275454016. Its totient is φ = 849638400.

The previous prime is 2134020797. The next prime is 2134020803. The reversal of 2134020800 is 80204312.

It is an interprime number because it is at equal distance from previous prime (2134020797) and next prime (2134020803).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134020803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353810 + ... + 359790.

It is an arithmetic number, because the mean of its divisors is an integer number (62803024).

Almost surely, 2^2134020800 is an apocalyptic number.

2134020800 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 2134020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637727008).

2134020800 is an abundant number, since it is smaller than the sum of its proper divisors (3141433216).

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

2134020800 is a wasteful number, since it uses less digits than its factorization.

2134020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2134020800 is about 46195.4629806868. The cubic root of 2134020800 is about 1287.4574441585.

The spelling of 2134020800 in words is "two billion, one hundred thirty-four million, twenty thousand, eight hundred".