1984730880 has 288 divisors, whose sum is σ = 7281872640. Its totient is φ = 455639040.

The previous prime is 1984730879. The next prime is 1984730893. The reversal of 1984730880 is 880374891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801324 + ... + 803796.

It is an arithmetic number, because the mean of its divisors is an integer number (25284280).

Almost surely, 2^1984730880 is an apocalyptic number.

1984730880 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 1984730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640936320).

1984730880 is an abundant number, since it is smaller than the sum of its proper divisors (5297141760).

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

1984730880 is a wasteful number, since it uses less digits than its factorization.

1984730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1984730880 is about 44550.3185173799. The cubic root of 1984730880 is about 1256.7065412263.

The spelling of 1984730880 in words is "one billion, nine hundred eighty-four million, seven hundred thirty thousand, eight hundred eighty".