2467561208640 has 336 divisors, whose sum is σ = 9064726762560. Its totient is φ = 566712115200.

The previous prime is 2467561208639. The next prime is 2467561208681. The reversal of 2467561208640 is 468021657642.

2467561208640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2467561208640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648020 + ... + 2766060.

It is an arithmetic number, because the mean of its divisors is an integer number (26978353460).

Almost surely, 2^{2467561208640} is an apocalyptic number.

2467561208640 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 2467561208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532363381280).

2467561208640 is an abundant number, since it is smaller than the sum of its proper divisors (6597165553920).

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

2467561208640 is a wasteful number, since it uses less digits than its factorization.

2467561208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118102 (or 1118081 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2467561208640 in words is "two trillion, four hundred sixty-seven billion, five hundred sixty-one million, two hundred eight thousand, six hundred forty".