2572256746400 has 288 divisors, whose sum is σ = 6882838220160. Its totient is φ = 930948608000.

The previous prime is 2572256746391. The next prime is 2572256746421. The reversal of 2572256746400 is 46476522752.

2572256746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 2494913885 + ... + 2494914915.

It is an arithmetic number, because the mean of its divisors is an integer number (23898743820).

Almost surely, 2^{2572256746400} is an apocalyptic number.

2572256746400 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 2572256746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441419110080).

2572256746400 is an abundant number, since it is smaller than the sum of its proper divisors (4310581473760).

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

2572256746400 is a wasteful number, since it uses less digits than its factorization.

2572256746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 50.

The spelling of 2572256746400 in words is "two trillion, five hundred seventy-two billion, two hundred fifty-six million, seven hundred forty-six thousand, four hundred".