2544960040 has 96 divisors (see below), whose sum is σ = 6705936000. Its totient is φ = 866678400.

The previous prime is 2544960017. The next prime is 2544960053. The reversal of 2544960040 is 400694452.

It is a junction number, because it is equal to n+sod(n) for n = 2544959978 and 2544960005.

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, 291661 + ... + 300259.

It is an arithmetic number, because the mean of its divisors is an integer number (69853500).

Almost surely, 2^2544960040 is an apocalyptic number.

2544960040 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 2544960040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352968000).

2544960040 is an abundant number, since it is smaller than the sum of its proper divisors (4160975960).

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

2544960040 is a wasteful number, since it uses less digits than its factorization.

2544960040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2544960040 is about 50447.5969695287. The cubic root of 2544960040 is about 1365.2965386859.

The spelling of 2544960040 in words is "two billion, five hundred forty-four million, nine hundred sixty thousand, forty".