1984945500 has 432 divisors, whose sum is σ = 7104700512. Its totient is φ = 482112000.

The previous prime is 1984945493. The next prime is 1984945507. The reversal of 1984945500 is 55494891.

1984945500 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 94 + 550 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1984945493) and next prime (1984945507).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984945507) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64030485 + ... + 64030515.

It is an arithmetic number, because the mean of its divisors is an integer number (16446066).

Almost surely, 2^1984945500 is an apocalyptic number.

1984945500 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 1984945500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552350256).

1984945500 is an abundant number, since it is smaller than the sum of its proper divisors (5119755012).

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

1984945500 is a wasteful number, since it uses less digits than its factorization.

1984945500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1984945500 is about 44552.7271892530. The cubic root of 1984945500 is about 1256.7518378186.

The spelling of 1984945500 in words is "one billion, nine hundred eighty-four million, nine hundred forty-five thousand, five hundred".