2460012288000 has 384 divisors, whose sum is σ = 8540849640960. Its totient is φ = 627476889600.

The previous prime is 2460012287981. The next prime is 2460012288037. The reversal of 2460012288000 is 8822100642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2460012288000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17594367 + ... + 17733633.

It is an arithmetic number, because the mean of its divisors is an integer number (22241795940).

Almost surely, 2^{2460012288000} is an apocalyptic number.

2460012288000 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 2460012288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270424820480).

2460012288000 is an abundant number, since it is smaller than the sum of its proper divisors (6080837352960).

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

2460012288000 is a wasteful number, since it uses less digits than its factorization.

2460012288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139330 (or 139300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 2460012288000 its reverse (8822100642), we get a palindrome (2468834388642).

The spelling of 2460012288000 in words is "two trillion, four hundred sixty billion, twelve million, two hundred eighty-eight thousand".