2544420001300 has 72 divisors (see below), whose sum is σ = 5622286516952. Its totient is φ = 999231552000.

The previous prime is 2544420001297. The next prime is 2544420001337. The reversal of 2544420001300 is 31000244452.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1009036322064 + 1535383679236 = 1004508^2 + 1239106^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2914594 + ... + 3685606.

Almost surely, 2^{2544420001300} is an apocalyptic number.

2544420001300 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 2544420001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811143258476).

2544420001300 is an abundant number, since it is smaller than the sum of its proper divisors (3077866515652).

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

2544420001300 is a wasteful number, since it uses less digits than its factorization.

2544420001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771629 (or 771622 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2544420001300 its reverse (31000244452), we get a palindrome (2575420245752).

The spelling of 2544420001300 in words is "two trillion, five hundred forty-four billion, four hundred twenty million, one thousand, three hundred".