1974720384 has 720 divisors, whose sum is σ = 7724364120. Its totient is φ = 498161664.

The previous prime is 1974720379. The next prime is 1974720427. The reversal of 1974720384 is 4830274791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85857397 + ... + 85857419.

Almost surely, 2^1974720384 is an apocalyptic number.

1974720384 is a gapful number since it is divisible by the number (14) 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 1974720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862182060).

1974720384 is an abundant number, since it is smaller than the sum of its proper divisors (5749643736).

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

1974720384 is a wasteful number, since it uses less digits than its factorization.

1974720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1974720384 is about 44437.8260494368. The cubic root of 1974720384 is about 1254.5901391199.

The spelling of 1974720384 in words is "one billion, nine hundred seventy-four million, seven hundred twenty thousand, three hundred eighty-four".