2438788352000 has 1536 divisors, whose sum is σ = 8462106132480. Its totient is φ = 676823040000.

The previous prime is 2438788351999. The next prime is 2438788352029. The reversal of 2438788352000 is 2538878342.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 2438788352000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7943935847 + ... + 7943936153.

It is an arithmetic number, because the mean of its divisors is an integer number (5509183680).

Almost surely, 2^{2438788352000} is an apocalyptic number.

2438788352000 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 2438788352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231053066240).

2438788352000 is an abundant number, since it is smaller than the sum of its proper divisors (6023317780480).

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

2438788352000 is a wasteful number, since it uses less digits than its factorization.

2438788352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 2438788352000 in words is "two trillion, four hundred thirty-eight billion, seven hundred eighty-eight million, three hundred fifty-two thousand".