2452454320400 has 240 divisors, whose sum is σ = 6921190515456. Its totient is φ = 817470351360.

The previous prime is 2452454320397. The next prime is 2452454320417. The reversal of 2452454320400 is 40234542542.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141612542 + ... + 141629858.

Almost surely, 2^{2452454320400} is an apocalyptic number.

2452454320400 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 2452454320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460595257728).

2452454320400 is an abundant number, since it is smaller than the sum of its proper divisors (4468736195056).

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

2452454320400 is a wasteful number, since it uses less digits than its factorization.

2452454320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18746 (or 18735 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 2452454320400 its reverse (40234542542), we get a palindrome (2492688862942).

The spelling of 2452454320400 in words is "two trillion, four hundred fifty-two billion, four hundred fifty-four million, three hundred twenty thousand, four hundred".