2024400040224 has 48 divisors (see below), whose sum is σ = 5485471084800. Its totient is φ = 653032270080.

The previous prime is 2024400040213. The next prime is 2024400040259. The reversal of 2024400040224 is 4220400044202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2024400040194 and 2024400040203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340117999 + ... + 340123950.

It is an arithmetic number, because the mean of its divisors is an integer number (114280647600).

Almost surely, 2^{2024400040224} is an apocalyptic number.

2024400040224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2024400040224 is an abundant number, since it is smaller than the sum of its proper divisors (3461071044576).

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

2024400040224 is a wasteful number, since it uses less digits than its factorization.

2024400040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680241993 (or 680241985 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2024400040224 its reverse (4220400044202), we get a palindrome (6244800084426).

The spelling of 2024400040224 in words is "two trillion, twenty-four billion, four hundred million, forty thousand, two hundred twenty-four".