2544272640 has 576 divisors, whose sum is σ = 11125900800. Its totient is φ = 536150016.

The previous prime is 2544272629. The next prime is 2544272677. The reversal of 2544272640 is 462724452.

2544272640 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2544272595 and 2544272604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144556 + ... + 3145364.

It is an arithmetic number, because the mean of its divisors is an integer number (19315800).

Almost surely, 2^2544272640 is an apocalyptic number.

2544272640 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 2544272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562950400).

2544272640 is an abundant number, since it is smaller than the sum of its proper divisors (8581628160).

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

2544272640 is a wasteful number, since it uses less digits than its factorization.

2544272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2544272640 is about 50440.7834990695. The cubic root of 2544272640 is about 1365.1736042932.

The spelling of 2544272640 in words is "two billion, five hundred forty-four million, two hundred seventy-two thousand, six hundred forty".