2830250880 has 384 divisors, whose sum is σ = 10173496320. Its totient is φ = 724598784.

The previous prime is 2830250867. The next prime is 2830250881. The reversal of 2830250880 is 880520382.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830250881) 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, 22285377 + ... + 22285503.

It is an arithmetic number, because the mean of its divisors is an integer number (26493480).

Almost surely, 2^2830250880 is an apocalyptic number.

2830250880 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 2830250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086748160).

2830250880 is an abundant number, since it is smaller than the sum of its proper divisors (7343245440).

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

2830250880 is a wasteful number, since it uses less digits than its factorization.

2830250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2830250880 is about 53200.1022555408. The cubic root of 2830250880 is about 1414.5174562750.

The spelling of 2830250880 in words is "two billion, eight hundred thirty million, two hundred fifty thousand, eight hundred eighty".