2134392960 has 320 divisors, whose sum is σ = 7953943680. Its totient is φ = 486807552.

The previous prime is 2134392943. The next prime is 2134392971. The reversal of 2134392960 is 692934312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4609689 + ... + 4610151.

It is an arithmetic number, because the mean of its divisors is an integer number (24856074).

Almost surely, 2^2134392960 is an apocalyptic number.

2134392960 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 2134392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976971840).

2134392960 is an abundant number, since it is smaller than the sum of its proper divisors (5819550720).

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

2134392960 is an frugal number, since it uses more digits than its factorization.

2134392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 2134392960 is about 46199.4909062860. The cubic root of 2134392960 is about 1287.5322813410.

The spelling of 2134392960 in words is "two billion, one hundred thirty-four million, three hundred ninety-two thousand, nine hundred sixty".