2134890144 has 288 divisors, whose sum is σ = 6586804224. Its totient is φ = 654635520.

The previous prime is 2134890143. The next prime is 2134890181. The reversal of 2134890144 is 4410984312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2134890099 and 2134890108.

It is not an unprimeable number, because it can be changed into a prime (2134890143) 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, 25721527 + ... + 25721609.

It is an arithmetic number, because the mean of its divisors is an integer number (22870848).

Almost surely, 2^2134890144 is an apocalyptic number.

2134890144 is a gapful number since it is divisible by the number (24) 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 2134890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293402112).

2134890144 is an abundant number, since it is smaller than the sum of its proper divisors (4451914080).

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

2134890144 is a wasteful number, since it uses less digits than its factorization.

2134890144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2134890144 is about 46204.8714314844. The cubic root of 2134890144 is about 1287.6322458685.

The spelling of 2134890144 in words is "two billion, one hundred thirty-four million, eight hundred ninety thousand, one hundred forty-four".