2134312488 has 192 divisors, whose sum is σ = 7361003520. Its totient is φ = 542505600.

The previous prime is 2134312457. The next prime is 2134312489. The reversal of 2134312488 is 8842134312.

It is a happy number.

2134312488 is a `hidden beast` number, since 213 + 431 + 2 + 4 + 8 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2134312489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256473 + ... + 264663.

It is an arithmetic number, because the mean of its divisors is an integer number (38338560).

Almost surely, 2^2134312488 is an apocalyptic number.

2134312488 is a gapful number since it is divisible by the number (28) 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 2134312488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680501760).

2134312488 is an abundant number, since it is smaller than the sum of its proper divisors (5226691032).

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

2134312488 is a wasteful number, since it uses less digits than its factorization.

2134312488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8261 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2134312488 is about 46198.6199793890. The cubic root of 2134312488 is about 1287.5161000657.

The spelling of 2134312488 in words is "two billion, one hundred thirty-four million, three hundred twelve thousand, four hundred eighty-eight".