18954266240 has 384 divisors, whose sum is σ = 59777222400. Its totient is φ = 5680668672.

The previous prime is 18954266239. The next prime is 18954266249. The reversal of 18954266240 is 4266245981.

It is not an unprimeable number, because it can be changed into a prime (18954266249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7744697 + ... + 7747143.

It is an arithmetic number, because the mean of its divisors is an integer number (155669850).

Almost surely, 2^18954266240 is an apocalyptic number.

18954266240 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 18954266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29888611200).

18954266240 is an abundant number, since it is smaller than the sum of its proper divisors (40822956160).

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

18954266240 is a wasteful number, since it uses less digits than its factorization.

18954266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 18954266240 in words is "eighteen billion, nine hundred fifty-four million, two hundred sixty-six thousand, two hundred forty".