19954920240 has 400 divisors, whose sum is σ = 74177975520. Its totient is φ = 4956733440.

The previous prime is 19954920199. The next prime is 19954920241. The reversal of 19954920240 is 4202945991.

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 (19954920241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7508992 + ... + 7511648.

Almost surely, 2^19954920240 is an apocalyptic number.

19954920240 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 19954920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088987760).

19954920240 is an abundant number, since it is smaller than the sum of its proper divisors (54223055280).

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

19954920240 is a wasteful number, since it uses less digits than its factorization.

19954920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19954920240 in words is "nineteen billion, nine hundred fifty-four million, nine hundred twenty thousand, two hundred forty".