2428852154400 has 576 divisors, whose sum is σ = 10054593964800. Its totient is φ = 554318069760.

The previous prime is 2428852154359. The next prime is 2428852154429. The reversal of 2428852154400 is 44512588242.

It is a happy number.

2428852154400 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 85 + 21 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 101745666 + ... + 101769534.

It is an arithmetic number, because the mean of its divisors is an integer number (17455892300).

Almost surely, 2^{2428852154400} is an apocalyptic number.

2428852154400 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 2428852154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027296982400).

2428852154400 is an abundant number, since it is smaller than the sum of its proper divisors (7625741810400).

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

2428852154400 is a wasteful number, since it uses less digits than its factorization.

2428852154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578 (or 24559 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 2428852154400 in words is "two trillion, four hundred twenty-eight billion, eight hundred fifty-two million, one hundred fifty-four thousand, four hundred".