1984014648 has 320 divisors, whose sum is σ = 7338988800. Its totient is φ = 484807680.

The previous prime is 1984014607. The next prime is 1984014649. The reversal of 1984014648 is 8464104891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984014649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 847063 + ... + 849401.

It is an arithmetic number, because the mean of its divisors is an integer number (22934340).

Almost surely, 2^1984014648 is an apocalyptic number.

1984014648 is a gapful number since it is divisible by the number (18) 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 1984014648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669494400).

1984014648 is an abundant number, since it is smaller than the sum of its proper divisors (5354974152).

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

1984014648 is a wasteful number, since it uses less digits than its factorization.

1984014648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2379 counting only the distinct ones).

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

The square root of 1984014648 is about 44542.2793309907. The cubic root of 1984014648 is about 1256.5553533511. Note that the first 3 decimals are identical.

The spelling of 1984014648 in words is "one billion, nine hundred eighty-four million, fourteen thousand, six hundred forty-eight".