2134404720 has 360 divisors, whose sum is σ = 8434951200. Its totient is φ = 482227200.

The previous prime is 2134404707. The next prime is 2134404731. The reversal of 2134404720 is 274044312.

2134404720 is a `hidden beast` number, since 213 + 440 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3562981 + ... + 3563579.

It is an arithmetic number, because the mean of its divisors is an integer number (23430420).

Almost surely, 2^2134404720 is an apocalyptic number.

2134404720 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 2134404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217475600).

2134404720 is an abundant number, since it is smaller than the sum of its proper divisors (6300546480).

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

2134404720 is a wasteful number, since it uses less digits than its factorization.

2134404720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2134404720 is about 46199.6181802404. The cubic root of 2134404720 is about 1287.5346460027.

The spelling of 2134404720 in words is "two billion, one hundred thirty-four million, four hundred four thousand, seven hundred twenty".