1834980480 has 576 divisors, whose sum is σ = 7227230400. Its totient is φ = 443418624.

The previous prime is 1834980473. The next prime is 1834980491. The reversal of 1834980480 is 840894381.

1834980480 is a `hidden beast` number, since 1 + 83 + 4 + 98 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79781749 + ... + 79781771.

It is an arithmetic number, because the mean of its divisors is an integer number (12547275).

Almost surely, 2^1834980480 is an apocalyptic number.

1834980480 is a gapful number since it is divisible by the number (10) 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 1834980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613615200).

1834980480 is an abundant number, since it is smaller than the sum of its proper divisors (5392249920).

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

1834980480 is an frugal number, since it uses more digits than its factorization.

1834980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1834980480 is about 42836.6721396516. The cubic root of 1834980480 is about 1224.2698367026.

The spelling of 1834980480 in words is "one billion, eight hundred thirty-four million, nine hundred eighty thousand, four hundred eighty".