2134808676 has 576 divisors, whose sum is σ = 7870464000. Its totient is φ = 495331200.

The previous prime is 2134808657. The next prime is 2134808693. The reversal of 2134808676 is 6768084312.

2134808676 is a `hidden beast` number, since 21 + 3 + 480 + 86 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68864781 + ... + 68864811.

It is an arithmetic number, because the mean of its divisors is an integer number (13664000).

Almost surely, 2^2134808676 is an apocalyptic number.

2134808676 is a gapful number since it is divisible by the number (26) 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 2134808676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935232000).

2134808676 is an abundant number, since it is smaller than the sum of its proper divisors (5735655324).

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

2134808676 is a wasteful number, since it uses less digits than its factorization.

2134808676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2134808676 is about 46203.9898277194. The cubic root of 2134808676 is about 1287.6158668590.

The spelling of 2134808676 in words is "two billion, one hundred thirty-four million, eight hundred eight thousand, six hundred seventy-six".