2054946324240 has 80 divisors (see below), whose sum is σ = 7078148457600. Its totient is φ = 547985685888.

The previous prime is 2054946324227. The next prime is 2054946324247. The reversal of 2054946324240 is 424236494502.

2054946324240 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 9 + 4 + 632 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×2054946324240⁵ (a number of 63 digits) contains 55555 as substring.

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 (2054946324247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475679860 + ... + 475684179.

It is an arithmetic number, because the mean of its divisors is an integer number (88476855720).

Almost surely, 2^{2054946324240} is an apocalyptic number.

2054946324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054946324240 is an abundant number, since it is smaller than the sum of its proper divisors (5023202133360).

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

2054946324240 is a wasteful number, since it uses less digits than its factorization.

2054946324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951364061 (or 951364049 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2054946324240 in words is "two trillion, fifty-four billion, nine hundred forty-six million, three hundred twenty-four thousand, two hundred forty".