2338520352000 has 576 divisors, whose sum is σ = 8984189620224. Its totient is φ = 528066355200.

The previous prime is 2338520351963. The next prime is 2338520352023. The reversal of 2338520352000 is 2530258332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55755037 + ... + 55796963.

It is an arithmetic number, because the mean of its divisors is an integer number (15597551424).

Almost surely, 2^{2338520352000} is an apocalyptic number.

2338520352000 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 2338520352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492094810112).

2338520352000 is an abundant number, since it is smaller than the sum of its proper divisors (6645669268224).

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

2338520352000 is an equidigital number, since it uses as much as digits as its factorization.

2338520352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42051 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 2338520352000 in words is "two trillion, three hundred thirty-eight billion, five hundred twenty million, three hundred fifty-two thousand".