2124224020440 has 64 divisors (see below), whose sum is σ = 7080746738400. Its totient is φ = 566459738496.

The previous prime is 2124224020433. The next prime is 2124224020441. The reversal of 2124224020440 is 440204224212.

2124224020440 is a `hidden beast` number, since 212 + 4 + 2 + 2 + 4 + 0 + 2 + 0 + 440 = 666.

It is a super-4 number, since 4×2124224020440⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124224020441) 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, 983435967 + ... + 983438126.

Almost surely, 2^{2124224020440} is an apocalyptic number.

2124224020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124224020440 is an abundant number, since it is smaller than the sum of its proper divisors (4956522717960).

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

2124224020440 is a wasteful number, since it uses less digits than its factorization.

2124224020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966874113 (or 1966874103 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2124224020440 its reverse (440204224212), we get a palindrome (2564428244652).

The spelling of 2124224020440 in words is "two trillion, one hundred twenty-four billion, two hundred twenty-four million, twenty thousand, four hundred forty".