2134100880 has 120 divisors (see below), whose sum is σ = 7241145912. Its totient is φ = 563208192.

The previous prime is 2134100861. The next prime is 2134100909. The reversal of 2134100880 is 880014312.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 2131114896 = 1728^2 + 46164^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54562 + ... + 85118.

Almost surely, 2^2134100880 is an apocalyptic number.

2134100880 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 2134100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620572956).

2134100880 is an abundant number, since it is smaller than the sum of its proper divisors (5107045032).

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

2134100880 is a wasteful number, since it uses less digits than its factorization.

2134100880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30673 (or 30664 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2134100880 is about 46196.3297243407. The cubic root of 2134100880 is about 1287.4735480788.

The spelling of 2134100880 in words is "two billion, one hundred thirty-four million, one hundred thousand, eight hundred eighty".