2540996386560 has 1080 divisors, whose sum is σ = 9744659583120. Its totient is φ = 632062476288.

The previous prime is 2540996386541. The next prime is 2540996386619. The reversal of 2540996386560 is 656836990452.

2540996386560 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 9 + 9 + 63 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4105001931 + ... + 4105002549.

Almost surely, 2^{2540996386560} is an apocalyptic number.

2540996386560 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 2540996386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872329791560).

2540996386560 is an abundant number, since it is smaller than the sum of its proper divisors (7203663196560).

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

2540996386560 is a wasteful number, since it uses less digits than its factorization.

2540996386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 2540996386560 in words is "two trillion, five hundred forty billion, nine hundred ninety-six million, three hundred eighty-six thousand, five hundred sixty".