19740241920 has 624 divisors, whose sum is σ = 75299535360. Its totient is φ = 4401266688.

The previous prime is 19740241879. The next prime is 19740241973. The reversal of 19740241920 is 2914204791.

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, 237834199 + ... + 237834281.

Almost surely, 2^19740241920 is an apocalyptic number.

19740241920 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 19740241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37649767680).

19740241920 is an abundant number, since it is smaller than the sum of its proper divisors (55559293440).

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

19740241920 is an equidigital number, since it uses as much as digits as its factorization.

19740241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 19740241920 in words is "nineteen billion, seven hundred forty million, two hundred forty-one thousand, nine hundred twenty".