2978383200 has 144 divisors (see below), whose sum is σ = 10440488016. Its totient is φ = 733132800.

The previous prime is 2978383193. The next prime is 2978383211. The reversal of 2978383200 is 23838792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16531 + ... + 78930.

It is an arithmetic number, because the mean of its divisors is an integer number (72503389).

Almost surely, 2^2978383200 is an apocalyptic number.

2978383200 is a gapful number since it is divisible by the number (20) 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 2978383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220244008).

2978383200 is an abundant number, since it is smaller than the sum of its proper divisors (7462104816).

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

2978383200 is a wasteful number, since it uses less digits than its factorization.

2978383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95497 (or 95484 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2978383200 is about 54574.5655044545. The cubic root of 2978383200 is about 1438.7771253865. Note that the first 3 decimals are identical.

The spelling of 2978383200 in words is "two billion, nine hundred seventy-eight million, three hundred eighty-three thousand, two hundred".