2564445140400 has 1440 divisors, whose sum is σ = 10223712497664. Its totient is φ = 543628800000.

The previous prime is 2564445140393. The next prime is 2564445140407. The reversal of 2564445140400 is 40415444652.

2564445140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2564445140393) and next prime (2564445140407).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2564445140407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7747568235 + ... + 7747568565.

Almost surely, 2^{2564445140400} is an apocalyptic number.

2564445140400 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 2564445140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111856248832).

2564445140400 is an abundant number, since it is smaller than the sum of its proper divisors (7659267357264).

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

2564445140400 is a wasteful number, since it uses less digits than its factorization.

2564445140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 2564445140400 in words is "two trillion, five hundred sixty-four billion, four hundred forty-five million, one hundred forty thousand, four hundred".