2978017920 has 512 divisors, whose sum is σ = 11280384000. Its totient is φ = 740855808.

The previous prime is 2978017879. The next prime is 2978017937. The reversal of 2978017920 is 297108792.

It is a super-2 number, since 2×2978017920² = 17737181463682252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23448897 + ... + 23449023.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 2^2978017920 is an apocalyptic number.

2978017920 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 2978017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640192000).

2978017920 is an abundant number, since it is smaller than the sum of its proper divisors (8302366080).

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

2978017920 is a wasteful number, since it uses less digits than its factorization.

2978017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2978017920 is about 54571.2187879289. The cubic root of 2978017920 is about 1438.7183039880.

The spelling of 2978017920 in words is "two billion, nine hundred seventy-eight million, seventeen thousand, nine hundred twenty".