2412075223040 has 384 divisors, whose sum is σ = 6835570560000. Its totient is φ = 816434970624.

The previous prime is 2412075223037. The next prime is 2412075223049. The reversal of 2412075223040 is 403225702142.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2412075222988 and 2412075223006.

It is not an unprimeable number, because it can be changed into a prime (2412075223049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277468934 + ... + 277477626.

It is an arithmetic number, because the mean of its divisors is an integer number (17800965000).

Almost surely, 2^{2412075223040} is an apocalyptic number.

2412075223040 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 2412075223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280000).

2412075223040 is an abundant number, since it is smaller than the sum of its proper divisors (4423495336960).

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

2412075223040 is an frugal number, since it uses more digits than its factorization.

2412075223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 2412075223040 in words is "two trillion, four hundred twelve billion, seventy-five million, two hundred twenty-three thousand, forty".