2467311493920 has 1536 divisors, whose sum is σ = 10497973248000. Its totient is φ = 472608276480.

The previous prime is 2467311493903. The next prime is 2467311493921. The reversal of 2467311493920 is 293941137642.

2467311493920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2467311493921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2007575866 + ... + 2007577094.

It is an arithmetic number, because the mean of its divisors is an integer number (6834618000).

Almost surely, 2^{2467311493920} is an apocalyptic number.

2467311493920 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 2467311493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248986624000).

2467311493920 is an abundant number, since it is smaller than the sum of its proper divisors (8030661754080).

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

2467311493920 is a wasteful number, since it uses less digits than its factorization.

2467311493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 2467311493920 in words is "two trillion, four hundred sixty-seven billion, three hundred eleven million, four hundred ninety-three thousand, nine hundred twenty".