2024545113540 has 36 divisors (see below), whose sum is σ = 6141120178284. Its totient is φ = 539878696896.

The previous prime is 2024545113491. The next prime is 2024545113599. The reversal of 2024545113540 is 453115454202.

2024545113540 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 54 + 51 + 13 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1002994238016 + 1021550875524 = 1001496^2 + 1010718^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2024545113495 and 2024545113504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5623736247 + ... + 5623736606.

It is an arithmetic number, because the mean of its divisors is an integer number (170586671619).

Almost surely, 2^{2024545113540} is an apocalyptic number.

2024545113540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024545113540 is an abundant number, since it is smaller than the sum of its proper divisors (4116575064744).

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

2024545113540 is a wasteful number, since it uses less digits than its factorization.

2024545113540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247472868 (or 11247472863 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2024545113540 in words is "two trillion, twenty-four billion, five hundred forty-five million, one hundred thirteen thousand, five hundred forty".