19972362240 has 416 divisors, whose sum is σ = 74780553600. Its totient is φ = 5042995200.

The previous prime is 19972362227. The next prime is 19972362247. The reversal of 19972362240 is 4226327991.

19972362240 is a `hidden beast` number, since 19 + 9 + 7 + 2 + 3 + 622 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (19972362247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10505290 + ... + 10507190.

Almost surely, 2^19972362240 is an apocalyptic number.

19972362240 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 19972362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37390276800).

19972362240 is an abundant number, since it is smaller than the sum of its proper divisors (54808191360).

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

19972362240 is a wasteful number, since it uses less digits than its factorization.

19972362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 19972362240 in words is "nineteen billion, nine hundred seventy-two million, three hundred sixty-two thousand, two hundred forty".