2452934438400 has 120 divisors (see below), whose sum is σ = 8103115735704. Its totient is φ = 654115840000.

The previous prime is 2452934438399. The next prime is 2452934438401. The reversal of 2452934438400 is 48344392542.

It is an interprime number because it is at equal distance from previous prime (2452934438399) and next prime (2452934438401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2452934438400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452934438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31900851 + ... + 31977650.

Almost surely, 2^{2452934438400} is an apocalyptic number.

2452934438400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2452934438400 is an abundant number, since it is smaller than the sum of its proper divisors (5650181297304).

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

2452934438400 is an equidigital number, since it uses as much as digits as its factorization.

2452934438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63878532 (or 63878511 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 2452934438400 in words is "two trillion, four hundred fifty-two billion, nine hundred thirty-four million, four hundred thirty-eight thousand, four hundred".