2830374144 has 216 divisors, whose sum is σ = 9067020480. Its totient is φ = 870524928.

The previous prime is 2830374133. The next prime is 2830374179. The reversal of 2830374144 is 4414730382.

2830374144 is a `hidden beast` number, since 283 + 0 + 374 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×2830374144³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2830374099 and 2830374108.

It is a congruent number.

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, 1166917 + ... + 1169339.

Almost surely, 2^2830374144 is an apocalyptic number.

2830374144 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 2830374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533510240).

2830374144 is an abundant number, since it is smaller than the sum of its proper divisors (6236646336).

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

2830374144 is a wasteful number, since it uses less digits than its factorization.

2830374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2830374144 is about 53201.2607369412. The cubic root of 2830374144 is about 1414.5379911505.

The spelling of 2830374144 in words is "two billion, eight hundred thirty million, three hundred seventy-four thousand, one hundred forty-four".