1978819200 has 384 divisors, whose sum is σ = 7449672000. Its totient is φ = 512593920.

The previous prime is 1978819189. The next prime is 1978819217. The reversal of 1978819200 is 29188791.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196491 + ... + 3197109.

Almost surely, 2^1978819200 is an apocalyptic number.

1978819200 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 1978819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724836000).

1978819200 is an abundant number, since it is smaller than the sum of its proper divisors (5470852800).

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

1978819200 is a wasteful number, since it uses less digits than its factorization.

1978819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1978819200 is about 44483.9206905147. The cubic root of 1978819200 is about 1255.4575666284.

The spelling of 1978819200 in words is "one billion, nine hundred seventy-eight million, eight hundred nineteen thousand, two hundred".