2054242420240 has 40 divisors (see below), whose sum is σ = 4776626562048. Its totient is φ = 821608721280.

The previous prime is 2054242420211. The next prime is 2054242420249. The reversal of 2054242420240 is 420242424502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2054242420240² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2054242420249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626746 + ... + 2121625.

Almost surely, 2^{2054242420240} is an apocalyptic number.

2054242420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054242420240 is an abundant number, since it is smaller than the sum of its proper divisors (2722384141808).

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

2054242420240 is a wasteful number, since it uses less digits than its factorization.

2054242420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757727 (or 2757721 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 31.

Adding to 2054242420240 its reverse (420242424502), we get a palindrome (2474484844742).

The spelling of 2054242420240 in words is "two trillion, fifty-four billion, two hundred forty-two million, four hundred twenty thousand, two hundred forty".