2488147200000 has 3456 divisors, whose sum is σ = 12253503225600. Its totient is φ = 486604800000.

The previous prime is 2488147199999. The next prime is 2488147200059. The reversal of 2488147200000 is 27418842.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 146361599992 + ... + 146361600008.

It is an arithmetic number, because the mean of its divisors is an integer number (3545573850).

Almost surely, 2^{2488147200000} is an apocalyptic number.

2488147200000 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 2488147200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126751612800).

2488147200000 is an abundant number, since it is smaller than the sum of its proper divisors (9765356025600).

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

2488147200000 is an equidigital number, since it uses as much as digits as its factorization.

2488147200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 2488147200000 in words is "two trillion, four hundred eighty-eight billion, one hundred forty-seven million, two hundred thousand".