19740397248 has 560 divisors, whose sum is σ = 71047173120. Its totient is φ = 5337446400.

The previous prime is 19740397231. The next prime is 19740397283. The reversal of 19740397248 is 84279304791.

19740397248 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 0 + 397 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19740397194 and 19740397203.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22980243 + ... + 22981101.

It is an arithmetic number, because the mean of its divisors is an integer number (126869952).

Almost surely, 2^19740397248 is an apocalyptic number.

19740397248 is a gapful number since it is divisible by the number (18) 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 19740397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35523586560).

19740397248 is an abundant number, since it is smaller than the sum of its proper divisors (51306775872).

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

19740397248 is a wasteful number, since it uses less digits than its factorization.

19740397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 19740397248 in words is "nineteen billion, seven hundred forty million, three hundred ninety-seven thousand, two hundred forty-eight".