54001022240 has 288 divisors, whose sum is σ = 151681082112. Its totient is φ = 18083225600.

The previous prime is 54001022221. The next prime is 54001022249. The reversal of 54001022240 is 4222010045.

It is a happy number.

It is a super-2 number, since 2×54001022240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (54001022249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15466895 + ... + 15470385.

It is an arithmetic number, because the mean of its divisors is an integer number (526670424).

Almost surely, 2^54001022240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54001022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75840541056).

54001022240 is an abundant number, since it is smaller than the sum of its proper divisors (97680059872).

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

54001022240 is a wasteful number, since it uses less digits than its factorization.

54001022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 54001022240 its reverse (4222010045), we get a palindrome (58223032285).

The spelling of 54001022240 in words is "fifty-four billion, one million, twenty-two thousand, two hundred forty".