1984012800 has 720 divisors, whose sum is σ = 8368172736. Its totient is φ = 405504000.

The previous prime is 1984012753. The next prime is 1984012817. The reversal of 1984012800 is 82104891.

It is a super-3 number, since 3×1984012800³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 32524770 + ... + 32524830.

Almost surely, 2^1984012800 is an apocalyptic number.

1984012800 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 1984012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184086368).

1984012800 is an abundant number, since it is smaller than the sum of its proper divisors (6384159936).

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

1984012800 is a wasteful number, since it uses less digits than its factorization.

1984012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1984012800 is about 44542.2585866500. The cubic root of 1984012800 is about 1256.5549632137.

It can be divided in two parts, 19840 and 12800, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 1984012800 in words is "one billion, nine hundred eighty-four million, twelve thousand, eight hundred".