2124402320040 has 512 divisors, whose sum is σ = 8788322672640. Its totient is φ = 396464025600.

The previous prime is 2124402320017. The next prime is 2124402320059. The reversal of 2124402320040 is 400232044212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4205445 + ... + 4683435.

It is an arithmetic number, because the mean of its divisors is an integer number (17164692720).

Almost surely, 2^{2124402320040} is an apocalyptic number.

2124402320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124402320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394161336320).

2124402320040 is an abundant number, since it is smaller than the sum of its proper divisors (6663920352600).

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

2124402320040 is a wasteful number, since it uses less digits than its factorization.

2124402320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478073 (or 478069 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2124402320040 its reverse (400232044212), we get a palindrome (2524634364252).

It can be divided in two parts, 2124402 and 320040, that added together give a palindrome (2444442).

The spelling of 2124402320040 in words is "two trillion, one hundred twenty-four billion, four hundred two million, three hundred twenty thousand, forty".