2134560960 has 336 divisors, whose sum is σ = 8474147136. Its totient is φ = 483065856.

The previous prime is 2134560943. The next prime is 2134560971. The reversal of 2134560960 is 690654312.

It is a happy number.

2134560960 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 560 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2134560960² = 9112700983912243200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277612 + ... + 2278548.

It is an arithmetic number, because the mean of its divisors is an integer number (25220676).

Almost surely, 2^2134560960 is an apocalyptic number.

2134560960 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 2134560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237073568).

2134560960 is an abundant number, since it is smaller than the sum of its proper divisors (6339586176).

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

2134560960 is a wasteful number, since it uses less digits than its factorization.

2134560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2134560960 is about 46201.3090723629. The cubic root of 2134560960 is about 1287.5660613981.

The spelling of 2134560960 in words is "two billion, one hundred thirty-four million, five hundred sixty thousand, nine hundred sixty".