2134248480 has 768 divisors, whose sum is σ = 9449395200. Its totient is φ = 437944320.

The previous prime is 2134248461. The next prime is 2134248503. The reversal of 2134248480 is 848424312.

2134248480 is a `hidden beast` number, since 2 + 134 + 2 + 48 + 480 = 666.

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 127 ways as a sum of consecutive naturals, for example, 23980276 + ... + 23980364.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^2134248480 is an apocalyptic number.

2134248480 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 2134248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724697600).

2134248480 is an abundant number, since it is smaller than the sum of its proper divisors (7315146720).

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

2134248480 is a wasteful number, since it uses less digits than its factorization.

2134248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2134248480 is about 46197.9272262295. The cubic root of 2134248480 is about 1287.5032290741.

The spelling of 2134248480 in words is "two billion, one hundred thirty-four million, two hundred forty-eight thousand, four hundred eighty".