2540026944 has 448 divisors, whose sum is σ = 9524390400. Its totient is φ = 645636096.

The previous prime is 2540026939. The next prime is 2540027003. The reversal of 2540026944 is 4496200452.

2540026944 is a `hidden beast` number, since 2 + 540 + 0 + 26 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 2540026899 and 2540026908.

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, 4559914 + ... + 4560470.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 2^2540026944 is an apocalyptic number.

2540026944 is a gapful number since it is divisible by the number (24) 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 2540026944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762195200).

2540026944 is an abundant number, since it is smaller than the sum of its proper divisors (6984363456).

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

2540026944 is a wasteful number, since it uses less digits than its factorization.

2540026944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2540026944 is about 50398.6799827138. The cubic root of 2540026944 is about 1364.4138142384.

The spelling of 2540026944 in words is "two billion, five hundred forty million, twenty-six thousand, nine hundred forty-four".