2134873440 has 576 divisors, whose sum is σ = 8944266240. Its totient is φ = 452874240.

The previous prime is 2134873439. The next prime is 2134873441. The reversal of 2134873440 is 443784312.

2134873440 is a `hidden beast` number, since 2 + 134 + 87 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2134873439) and next prime (2134873441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2134873395 and 2134873404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134873441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13597842 + ... + 13597998.

It is an arithmetic number, because the mean of its divisors is an integer number (15528240).

Almost surely, 2^2134873440 is an apocalyptic number.

2134873440 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 2134873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472133120).

2134873440 is an abundant number, since it is smaller than the sum of its proper divisors (6809392800).

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

2134873440 is a wasteful number, since it uses less digits than its factorization.

2134873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2134873440 is about 46204.6906709698. The cubic root of 2134873440 is about 1287.6288875903.

The spelling of 2134873440 in words is "two billion, one hundred thirty-four million, eight hundred seventy-three thousand, four hundred forty".