2468846745600 has 1152 divisors, whose sum is σ = 9183912192000. Its totient is φ = 582156288000.

The previous prime is 2468846745559. The next prime is 2468846745611. The reversal of 2468846745600 is 65476488642.

It is a happy number.

It is a super-2 number, since 2×2468846745600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2623641130 + ... + 2623642070.

It is an arithmetic number, because the mean of its divisors is an integer number (7972146000).

Almost surely, 2^{2468846745600} is an apocalyptic number.

2468846745600 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 2468846745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591956096000).

2468846745600 is an abundant number, since it is smaller than the sum of its proper divisors (6715065446400).

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

2468846745600 is a wasteful number, since it uses less digits than its factorization.

2468846745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 2468846745600 in words is "two trillion, four hundred sixty-eight billion, eight hundred forty-six million, seven hundred forty-five thousand, six hundred".