2352504400000 has 384 divisors, whose sum is σ = 6278718136320. Its totient is φ = 875635200000.

The previous prime is 2352504399919. The next prime is 2352504400003. The reversal of 2352504400000 is 44052532.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2352504400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340396545 + ... + 340403455.

It is an arithmetic number, because the mean of its divisors is an integer number (16350828480).

Almost surely, 2^{2352504400000} is an apocalyptic number.

2352504400000 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 2352504400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139359068160).

2352504400000 is an abundant number, since it is smaller than the sum of its proper divisors (3926213736320).

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

2352504400000 is an frugal number, since it uses more digits than its factorization.

2352504400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 2352504400000 its reverse (44052532), we get a palindrome (2352548452532).

The spelling of 2352504400000 in words is "two trillion, three hundred fifty-two billion, five hundred four million, four hundred thousand".