2544395640 has 128 divisors (see below), whose sum is σ = 8050233600. Its totient is φ = 641571840.

The previous prime is 2544395639. The next prime is 2544395653. The reversal of 2544395640 is 465934452.

2544395640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2544395592 and 2544395601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172255 + ... + 2173425.

It is an arithmetic number, because the mean of its divisors is an integer number (62892450).

Almost surely, 2^2544395640 is an apocalyptic number.

2544395640 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 2544395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025116800).

2544395640 is an abundant number, since it is smaller than the sum of its proper divisors (5505837960).

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

2544395640 is a wasteful number, since it uses less digits than its factorization.

2544395640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 2544395640 is about 50442.0027358153. The cubic root of 2544395640 is about 1365.1956031997.

The spelling of 2544395640 in words is "two billion, five hundred forty-four million, three hundred ninety-five thousand, six hundred forty".