2445786578400 has 288 divisors, whose sum is σ = 8706461250816. Its totient is φ = 591436800000.

The previous prime is 2445786578399. The next prime is 2445786578407. The reversal of 2445786578400 is 48756875442.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445786578407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10470885 + ... + 10701915.

It is an arithmetic number, because the mean of its divisors is an integer number (30230768232).

Almost surely, 2^{2445786578400} is an apocalyptic number.

2445786578400 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 2445786578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353230625408).

2445786578400 is an abundant number, since it is smaller than the sum of its proper divisors (6260674672416).

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

2445786578400 is a wasteful number, since it uses less digits than its factorization.

2445786578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231466 (or 231453 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 60.

The spelling of 2445786578400 in words is "two trillion, four hundred forty-five billion, seven hundred eighty-six million, five hundred seventy-eight thousand, four hundred".